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Finding the Third Proportional to 508,727 and 809,789

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Solution

The third proportional to 508,727 and 809,789 is: 1,289,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,727 : 809,789 = 809,789 : x
  2. Step 2: Convert to fraction form
    508,727/809,789 = 809,789/x
  3. Step 3: Cross multiply
    508,727x = 809,789 × 809,789
  4. Step 4: Simplify right side
    508,727x = 655,758,224,521
  5. Step 5: Solve for x
    x = 655,758,224,521/508,727
  6. Step 6: Final answer
    x = 1,289,017.93

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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.