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Finding the Third Proportional to 506,833 and 758,743

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Solution

The third proportional to 506,833 and 758,743 is: 1,135,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,833 : 758,743 = 758,743 : x
  2. Step 2: Convert to fraction form
    506,833/758,743 = 758,743/x
  3. Step 3: Cross multiply
    506,833x = 758,743 × 758,743
  4. Step 4: Simplify right side
    506,833x = 575,690,940,049
  5. Step 5: Solve for x
    x = 575,690,940,049/506,833
  6. Step 6: Final answer
    x = 1,135,859.23

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Why These Related Problems?

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