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Finding the Third Proportional to 418,540.50 and 607,398.75

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Solution

The third proportional to 418,540.50 and 607,398.75 is: 881,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,540.50 : 607,398.75 = 607,398.75 : x
  2. Step 2: Convert to fraction form
    418,540.50/607,398.75 = 607,398.75/x
  3. Step 3: Cross multiply
    418,540.50x = 607,398.75 × 607,398.75
  4. Step 4: Simplify right side
    418,540.50x = 368,933,241,501.56
  5. Step 5: Solve for x
    x = 368,933,241,501.56/418,540.50
  6. Step 6: Final answer
    x = 881,475.61

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.