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Finding the Third Proportional to 337,618.13 and 731,286.67

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Solution

The third proportional to 337,618.13 and 731,286.67 is: 1,583,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,618.13 : 731,286.67 = 731,286.67 : x
  2. Step 2: Convert to fraction form
    337,618.13/731,286.67 = 731,286.67/x
  3. Step 3: Cross multiply
    337,618.13x = 731,286.67 × 731,286.67
  4. Step 4: Simplify right side
    337,618.13x = 534,780,190,748.84
  5. Step 5: Solve for x
    x = 534,780,190,748.84/337,618.13
  6. Step 6: Final answer
    x = 1,583,979.51

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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.