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Finding the Third Proportional to 493,850 and 747,687

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Solution

The third proportional to 493,850 and 747,687 is: 1,131,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,850 : 747,687 = 747,687 : x
  2. Step 2: Convert to fraction form
    493,850/747,687 = 747,687/x
  3. Step 3: Cross multiply
    493,850x = 747,687 × 747,687
  4. Step 4: Simplify right side
    493,850x = 559,035,849,969
  5. Step 5: Solve for x
    x = 559,035,849,969/493,850
  6. Step 6: Final answer
    x = 1,131,995.24

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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.