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Finding the Third Proportional to 401,440.13 and 587,089.13

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Solution

The third proportional to 401,440.13 and 587,089.13 is: 858,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,440.13 : 587,089.13 = 587,089.13 : x
  2. Step 2: Convert to fraction form
    401,440.13/587,089.13 = 587,089.13/x
  3. Step 3: Cross multiply
    401,440.13x = 587,089.13 × 587,089.13
  4. Step 4: Simplify right side
    401,440.13x = 344,673,640,693.27
  5. Step 5: Solve for x
    x = 344,673,640,693.27/401,440.13
  6. Step 6: Final answer
    x = 858,592.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.