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Finding the Third Proportional to 337,714.50 and 731,471

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Solution

The third proportional to 337,714.50 and 731,471 is: 1,584,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,714.50 : 731,471 = 731,471 : x
  2. Step 2: Convert to fraction form
    337,714.50/731,471 = 731,471/x
  3. Step 3: Cross multiply
    337,714.50x = 731,471 × 731,471
  4. Step 4: Simplify right side
    337,714.50x = 535,049,823,841
  5. Step 5: Solve for x
    x = 535,049,823,841/337,714.50
  6. Step 6: Final answer
    x = 1,584,325.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.