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Finding the Third Proportional to 415,242.75 and 905,526.75

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Solution

The third proportional to 415,242.75 and 905,526.75 is: 1,974,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,242.75 : 905,526.75 = 905,526.75 : x
  2. Step 2: Convert to fraction form
    415,242.75/905,526.75 = 905,526.75/x
  3. Step 3: Cross multiply
    415,242.75x = 905,526.75 × 905,526.75
  4. Step 4: Simplify right side
    415,242.75x = 819,978,694,965.56
  5. Step 5: Solve for x
    x = 819,978,694,965.56/415,242.75
  6. Step 6: Final answer
    x = 1,974,697.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.