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Finding the Third Proportional to 508,596 and 747,324

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Solution

The third proportional to 508,596 and 747,324 is: 1,098,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,596 : 747,324 = 747,324 : x
  2. Step 2: Convert to fraction form
    508,596/747,324 = 747,324/x
  3. Step 3: Cross multiply
    508,596x = 747,324 × 747,324
  4. Step 4: Simplify right side
    508,596x = 558,493,160,976
  5. Step 5: Solve for x
    x = 558,493,160,976/508,596
  6. Step 6: Final answer
    x = 1,098,107.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.