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Finding the Third Proportional to 417,101.91 and 566,603.86

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Solution

The third proportional to 417,101.91 and 566,603.86 is: 769,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,101.91 : 566,603.86 = 566,603.86 : x
  2. Step 2: Convert to fraction form
    417,101.91/566,603.86 = 566,603.86/x
  3. Step 3: Cross multiply
    417,101.91x = 566,603.86 × 566,603.86
  4. Step 4: Simplify right side
    417,101.91x = 321,039,933,458.65
  5. Step 5: Solve for x
    x = 321,039,933,458.65/417,101.91
  6. Step 6: Final answer
    x = 769,691.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.