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Finding the Third Proportional to 417,215.81 and 566,751.94

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Solution

The third proportional to 417,215.81 and 566,751.94 is: 769,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,215.81 : 566,751.94 = 566,751.94 : x
  2. Step 2: Convert to fraction form
    417,215.81/566,751.94 = 566,751.94/x
  3. Step 3: Cross multiply
    417,215.81x = 566,751.94 × 566,751.94
  4. Step 4: Simplify right side
    417,215.81x = 321,207,758,660.00
  5. Step 5: Solve for x
    x = 321,207,758,660.00/417,215.81
  6. Step 6: Final answer
    x = 769,883.95

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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.