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Finding the Third Proportional to 337,904 and 731,574

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Solution

The third proportional to 337,904 and 731,574 is: 1,583,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,904 : 731,574 = 731,574 : x
  2. Step 2: Convert to fraction form
    337,904/731,574 = 731,574/x
  3. Step 3: Cross multiply
    337,904x = 731,574 × 731,574
  4. Step 4: Simplify right side
    337,904x = 535,200,517,476
  5. Step 5: Solve for x
    x = 535,200,517,476/337,904
  6. Step 6: Final answer
    x = 1,583,883.34

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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.