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Finding the Third Proportional to 508,729 and 809,792

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Solution

The third proportional to 508,729 and 809,792 is: 1,289,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,729 : 809,792 = 809,792 : x
  2. Step 2: Convert to fraction form
    508,729/809,792 = 809,792/x
  3. Step 3: Cross multiply
    508,729x = 809,792 × 809,792
  4. Step 4: Simplify right side
    508,729x = 655,763,083,264
  5. Step 5: Solve for x
    x = 655,763,083,264/508,729
  6. Step 6: Final answer
    x = 1,289,022.41

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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.