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Finding the Third Proportional to 361,064.25 and 558,788.63

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Solution

The third proportional to 361,064.25 and 558,788.63 is: 864,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,064.25 : 558,788.63 = 558,788.63 : x
  2. Step 2: Convert to fraction form
    361,064.25/558,788.63 = 558,788.63/x
  3. Step 3: Cross multiply
    361,064.25x = 558,788.63 × 558,788.63
  4. Step 4: Simplify right side
    361,064.25x = 312,244,727,429.39
  5. Step 5: Solve for x
    x = 312,244,727,429.39/361,064.25
  6. Step 6: Final answer
    x = 864,789.93

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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.