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Finding the Third Proportional to 335,049.75 and 502,642.13

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Solution

The third proportional to 335,049.75 and 502,642.13 is: 754,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,049.75 : 502,642.13 = 502,642.13 : x
  2. Step 2: Convert to fraction form
    335,049.75/502,642.13 = 502,642.13/x
  3. Step 3: Cross multiply
    335,049.75x = 502,642.13 × 502,642.13
  4. Step 4: Simplify right side
    335,049.75x = 252,649,105,824.52
  5. Step 5: Solve for x
    x = 252,649,105,824.52/335,049.75
  6. Step 6: Final answer
    x = 754,064.45

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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.