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Finding the Third Proportional to 415,302.75 and 650,635.88

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Solution

The third proportional to 415,302.75 and 650,635.88 is: 1,019,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,302.75 : 650,635.88 = 650,635.88 : x
  2. Step 2: Convert to fraction form
    415,302.75/650,635.88 = 650,635.88/x
  3. Step 3: Cross multiply
    415,302.75x = 650,635.88 × 650,635.88
  4. Step 4: Simplify right side
    415,302.75x = 423,327,041,837.02
  5. Step 5: Solve for x
    x = 423,327,041,837.02/415,302.75
  6. Step 6: Final answer
    x = 1,019,321.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.