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Finding the Third Proportional to 285,535.13 and 614,131.88

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Solution

The third proportional to 285,535.13 and 614,131.88 is: 1,320,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,535.13 : 614,131.88 = 614,131.88 : x
  2. Step 2: Convert to fraction form
    285,535.13/614,131.88 = 614,131.88/x
  3. Step 3: Cross multiply
    285,535.13x = 614,131.88 × 614,131.88
  4. Step 4: Simplify right side
    285,535.13x = 377,157,959,891.02
  5. Step 5: Solve for x
    x = 377,157,959,891.02/285,535.13
  6. Step 6: Final answer
    x = 1,320,881.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.