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Finding the Third Proportional to 361,081.13 and 558,817.50

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Solution

The third proportional to 361,081.13 and 558,817.50 is: 864,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,081.13 : 558,817.50 = 558,817.50 : x
  2. Step 2: Convert to fraction form
    361,081.13/558,817.50 = 558,817.50/x
  3. Step 3: Cross multiply
    361,081.13x = 558,817.50 × 558,817.50
  4. Step 4: Simplify right side
    361,081.13x = 312,276,998,306.25
  5. Step 5: Solve for x
    x = 312,276,998,306.25/361,081.13
  6. Step 6: Final answer
    x = 864,838.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.