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Finding the Third Proportional to 417,829 and 636,535.50

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Solution

The third proportional to 417,829 and 636,535.50 is: 969,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,829 : 636,535.50 = 636,535.50 : x
  2. Step 2: Convert to fraction form
    417,829/636,535.50 = 636,535.50/x
  3. Step 3: Cross multiply
    417,829x = 636,535.50 × 636,535.50
  4. Step 4: Simplify right side
    417,829x = 405,177,442,760.25
  5. Step 5: Solve for x
    x = 405,177,442,760.25/417,829
  6. Step 6: Final answer
    x = 969,720.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.