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Finding the Third Proportional to 349,953.75 and 517,546.13

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Solution

The third proportional to 349,953.75 and 517,546.13 is: 765,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,953.75 : 517,546.13 = 517,546.13 : x
  2. Step 2: Convert to fraction form
    349,953.75/517,546.13 = 517,546.13/x
  3. Step 3: Cross multiply
    349,953.75x = 517,546.13 × 517,546.13
  4. Step 4: Simplify right side
    349,953.75x = 267,853,991,502.52
  5. Step 5: Solve for x
    x = 267,853,991,502.52/349,953.75
  6. Step 6: Final answer
    x = 765,398.26

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.