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Finding the Third Proportional to 509,787,114.75 and 787,200,477.75

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Solution

The third proportional to 509,787,114.75 and 787,200,477.75 is: 1,215,575,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,787,114.75 : 787,200,477.75 = 787,200,477.75 : x
  2. Step 2: Convert to fraction form
    509,787,114.75/787,200,477.75 = 787,200,477.75/x
  3. Step 3: Cross multiply
    509,787,114.75x = 787,200,477.75 × 787,200,477.75
  4. Step 4: Simplify right side
    509,787,114.75x = 619,684,592,169,828,224
  5. Step 5: Solve for x
    x = 619,684,592,169,828,224/509,787,114.75
  6. Step 6: Final answer
    x = 1,215,575,235.70

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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.