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Finding the Third Proportional to 417,231 and 627,790.50

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Solution

The third proportional to 417,231 and 627,790.50 is: 944,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,231 : 627,790.50 = 627,790.50 : x
  2. Step 2: Convert to fraction form
    417,231/627,790.50 = 627,790.50/x
  3. Step 3: Cross multiply
    417,231x = 627,790.50 × 627,790.50
  4. Step 4: Simplify right side
    417,231x = 394,120,911,890.25
  5. Step 5: Solve for x
    x = 394,120,911,890.25/417,231
  6. Step 6: Final answer
    x = 944,610.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.