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Finding the Third Proportional to 378,037.88 and 598,897.13

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Solution

The third proportional to 378,037.88 and 598,897.13 is: 948,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,037.88 : 598,897.13 = 598,897.13 : x
  2. Step 2: Convert to fraction form
    378,037.88/598,897.13 = 598,897.13/x
  3. Step 3: Cross multiply
    378,037.88x = 598,897.13 × 598,897.13
  4. Step 4: Simplify right side
    378,037.88x = 358,677,766,333.27
  5. Step 5: Solve for x
    x = 358,677,766,333.27/378,037.88
  6. Step 6: Final answer
    x = 948,787.91

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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.