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Finding the Third Proportional to 372,874 and 590,703

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Solution

The third proportional to 372,874 and 590,703 is: 935,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,874 : 590,703 = 590,703 : x
  2. Step 2: Convert to fraction form
    372,874/590,703 = 590,703/x
  3. Step 3: Cross multiply
    372,874x = 590,703 × 590,703
  4. Step 4: Simplify right side
    372,874x = 348,930,034,209
  5. Step 5: Solve for x
    x = 348,930,034,209/372,874
  6. Step 6: Final answer
    x = 935,785.37

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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.