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Finding the Third Proportional to 509,787,096.75 and 787,200,459.75

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Solution

The third proportional to 509,787,096.75 and 787,200,459.75 is: 1,215,575,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,787,096.75 : 787,200,459.75 = 787,200,459.75 : x
  2. Step 2: Convert to fraction form
    509,787,096.75/787,200,459.75 = 787,200,459.75/x
  3. Step 3: Cross multiply
    509,787,096.75x = 787,200,459.75 × 787,200,459.75
  4. Step 4: Simplify right side
    509,787,096.75x = 619,684,563,830,611,328
  5. Step 5: Solve for x
    x = 619,684,563,830,611,328/509,787,096.75
  6. Step 6: Final answer
    x = 1,215,575,223.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.