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Finding the Third Proportional to 378,034.88 and 598,892.44

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Solution

The third proportional to 378,034.88 and 598,892.44 is: 948,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,034.88 : 598,892.44 = 598,892.44 : x
  2. Step 2: Convert to fraction form
    378,034.88/598,892.44 = 598,892.44/x
  3. Step 3: Cross multiply
    378,034.88x = 598,892.44 × 598,892.44
  4. Step 4: Simplify right side
    378,034.88x = 358,672,151,694.69
  5. Step 5: Solve for x
    x = 358,672,151,694.69/378,034.88
  6. Step 6: Final answer
    x = 948,780.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.