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Finding the Third Proportional to 417,849 and 636,568.50

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Solution

The third proportional to 417,849 and 636,568.50 is: 969,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,849 : 636,568.50 = 636,568.50 : x
  2. Step 2: Convert to fraction form
    417,849/636,568.50 = 636,568.50/x
  3. Step 3: Cross multiply
    417,849x = 636,568.50 × 636,568.50
  4. Step 4: Simplify right side
    417,849x = 405,219,455,192.25
  5. Step 5: Solve for x
    x = 405,219,455,192.25/417,849
  6. Step 6: Final answer
    x = 969,774.86

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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.