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Finding the Third Proportional to 412,862.50 and 638,081.50

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Solution

The third proportional to 412,862.50 and 638,081.50 is: 986,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,862.50 : 638,081.50 = 638,081.50 : x
  2. Step 2: Convert to fraction form
    412,862.50/638,081.50 = 638,081.50/x
  3. Step 3: Cross multiply
    412,862.50x = 638,081.50 × 638,081.50
  4. Step 4: Simplify right side
    412,862.50x = 407,148,000,642.25
  5. Step 5: Solve for x
    x = 407,148,000,642.25/412,862.50
  6. Step 6: Final answer
    x = 986,158.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.