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Finding the Third Proportional to 379,816.88 and 601,437.38

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Solution

The third proportional to 379,816.88 and 601,437.38 is: 952,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,816.88 : 601,437.38 = 601,437.38 : x
  2. Step 2: Convert to fraction form
    379,816.88/601,437.38 = 601,437.38/x
  3. Step 3: Cross multiply
    379,816.88x = 601,437.38 × 601,437.38
  4. Step 4: Simplify right side
    379,816.88x = 361,726,916,046.89
  5. Step 5: Solve for x
    x = 361,726,916,046.89/379,816.88
  6. Step 6: Final answer
    x = 952,371.89

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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.