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Finding the Third Proportional to 273,634 and 587,727

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Solution

The third proportional to 273,634 and 587,727 is: 1,262,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,634 : 587,727 = 587,727 : x
  2. Step 2: Convert to fraction form
    273,634/587,727 = 587,727/x
  3. Step 3: Cross multiply
    273,634x = 587,727 × 587,727
  4. Step 4: Simplify right side
    273,634x = 345,423,026,529
  5. Step 5: Solve for x
    x = 345,423,026,529/273,634
  6. Step 6: Final answer
    x = 1,262,354.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.