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Finding the Third Proportional to 525,096 and 787,482

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Solution

The third proportional to 525,096 and 787,482 is: 1,180,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,096 : 787,482 = 787,482 : x
  2. Step 2: Convert to fraction form
    525,096/787,482 = 787,482/x
  3. Step 3: Cross multiply
    525,096x = 787,482 × 787,482
  4. Step 4: Simplify right side
    525,096x = 620,127,900,324
  5. Step 5: Solve for x
    x = 620,127,900,324/525,096
  6. Step 6: Final answer
    x = 1,180,980.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.