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Finding the Third Proportional to 469,050 and 726,744

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Solution

The third proportional to 469,050 and 726,744 is: 1,126,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,050 : 726,744 = 726,744 : x
  2. Step 2: Convert to fraction form
    469,050/726,744 = 726,744/x
  3. Step 3: Cross multiply
    469,050x = 726,744 × 726,744
  4. Step 4: Simplify right side
    469,050x = 528,156,841,536
  5. Step 5: Solve for x
    x = 528,156,841,536/469,050
  6. Step 6: Final answer
    x = 1,126,013.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.