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Finding the Third Proportional to 514,761 and 782,636

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Solution

The third proportional to 514,761 and 782,636 is: 1,189,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,761 : 782,636 = 782,636 : x
  2. Step 2: Convert to fraction form
    514,761/782,636 = 782,636/x
  3. Step 3: Cross multiply
    514,761x = 782,636 × 782,636
  4. Step 4: Simplify right side
    514,761x = 612,519,108,496
  5. Step 5: Solve for x
    x = 612,519,108,496/514,761
  6. Step 6: Final answer
    x = 1,189,909.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.