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Finding the Third Proportional to 638,614.50 and 960,588

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Solution

The third proportional to 638,614.50 and 960,588 is: 1,444,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,614.50 : 960,588 = 960,588 : x
  2. Step 2: Convert to fraction form
    638,614.50/960,588 = 960,588/x
  3. Step 3: Cross multiply
    638,614.50x = 960,588 × 960,588
  4. Step 4: Simplify right side
    638,614.50x = 922,729,305,744
  5. Step 5: Solve for x
    x = 922,729,305,744/638,614.50
  6. Step 6: Final answer
    x = 1,444,892.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.