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Finding the Third Proportional to 378,337.50 and 791,721

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Solution

The third proportional to 378,337.50 and 791,721 is: 1,656,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,337.50 : 791,721 = 791,721 : x
  2. Step 2: Convert to fraction form
    378,337.50/791,721 = 791,721/x
  3. Step 3: Cross multiply
    378,337.50x = 791,721 × 791,721
  4. Step 4: Simplify right side
    378,337.50x = 626,822,141,841
  5. Step 5: Solve for x
    x = 626,822,141,841/378,337.50
  6. Step 6: Final answer
    x = 1,656,780.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.