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Finding the Third Proportional to 417,789 and 636,475.50

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Solution

The third proportional to 417,789 and 636,475.50 is: 969,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,789 : 636,475.50 = 636,475.50 : x
  2. Step 2: Convert to fraction form
    417,789/636,475.50 = 636,475.50/x
  3. Step 3: Cross multiply
    417,789x = 636,475.50 × 636,475.50
  4. Step 4: Simplify right side
    417,789x = 405,101,062,100.25
  5. Step 5: Solve for x
    x = 405,101,062,100.25/417,789
  6. Step 6: Final answer
    x = 969,630.75

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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.