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Finding the Third Proportional to 293,666 and 625,741

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Solution

The third proportional to 293,666 and 625,741 is: 1,333,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,666 : 625,741 = 625,741 : x
  2. Step 2: Convert to fraction form
    293,666/625,741 = 625,741/x
  3. Step 3: Cross multiply
    293,666x = 625,741 × 625,741
  4. Step 4: Simplify right side
    293,666x = 391,551,799,081
  5. Step 5: Solve for x
    x = 391,551,799,081/293,666
  6. Step 6: Final answer
    x = 1,333,323.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.