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Finding the Third Proportional to 638,624.25 and 958,027.50

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Solution

The third proportional to 638,624.25 and 958,027.50 is: 1,437,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,624.25 : 958,027.50 = 958,027.50 : x
  2. Step 2: Convert to fraction form
    638,624.25/958,027.50 = 958,027.50/x
  3. Step 3: Cross multiply
    638,624.25x = 958,027.50 × 958,027.50
  4. Step 4: Simplify right side
    638,624.25x = 917,816,690,756.25
  5. Step 5: Solve for x
    x = 917,816,690,756.25/638,624.25
  6. Step 6: Final answer
    x = 1,437,177.95

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