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Finding the Third Proportional to 493,866 and 747,684

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Solution

The third proportional to 493,866 and 747,684 is: 1,131,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,866 : 747,684 = 747,684 : x
  2. Step 2: Convert to fraction form
    493,866/747,684 = 747,684/x
  3. Step 3: Cross multiply
    493,866x = 747,684 × 747,684
  4. Step 4: Simplify right side
    493,866x = 559,031,363,856
  5. Step 5: Solve for x
    x = 559,031,363,856/493,866
  6. Step 6: Final answer
    x = 1,131,949.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.