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Finding the Third Proportional to 337,914 and 731,594

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Solution

The third proportional to 337,914 and 731,594 is: 1,583,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,914 : 731,594 = 731,594 : x
  2. Step 2: Convert to fraction form
    337,914/731,594 = 731,594/x
  3. Step 3: Cross multiply
    337,914x = 731,594 × 731,594
  4. Step 4: Simplify right side
    337,914x = 535,229,780,836
  5. Step 5: Solve for x
    x = 535,229,780,836/337,914
  6. Step 6: Final answer
    x = 1,583,923.07

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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.