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Finding the Third Proportional to 508,727 and 809,791

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Solution

The third proportional to 508,727 and 809,791 is: 1,289,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,727 : 809,791 = 809,791 : x
  2. Step 2: Convert to fraction form
    508,727/809,791 = 809,791/x
  3. Step 3: Cross multiply
    508,727x = 809,791 × 809,791
  4. Step 4: Simplify right side
    508,727x = 655,761,463,681
  5. Step 5: Solve for x
    x = 655,761,463,681/508,727
  6. Step 6: Final answer
    x = 1,289,024.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.