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Finding the Third Proportional to 538,224.75 and 731,278.13

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Solution

The third proportional to 538,224.75 and 731,278.13 is: 993,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,224.75 : 731,278.13 = 731,278.13 : x
  2. Step 2: Convert to fraction form
    538,224.75/731,278.13 = 731,278.13/x
  3. Step 3: Cross multiply
    538,224.75x = 731,278.13 × 731,278.13
  4. Step 4: Simplify right side
    538,224.75x = 534,767,696,103.52
  5. Step 5: Solve for x
    x = 534,767,696,103.52/538,224.75
  6. Step 6: Final answer
    x = 993,576.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.