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Finding the Third Proportional to 403,954.59 and 614,326.78

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Solution

The third proportional to 403,954.59 and 614,326.78 is: 934,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,954.59 : 614,326.78 = 614,326.78 : x
  2. Step 2: Convert to fraction form
    403,954.59/614,326.78 = 614,326.78/x
  3. Step 3: Cross multiply
    403,954.59x = 614,326.78 × 614,326.78
  4. Step 4: Simplify right side
    403,954.59x = 377,397,394,160.99
  5. Step 5: Solve for x
    x = 377,397,394,160.99/403,954.59
  6. Step 6: Final answer
    x = 934,256.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.