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Finding the Third Proportional to 337,896 and 731,560

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Solution

The third proportional to 337,896 and 731,560 is: 1,583,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,896 : 731,560 = 731,560 : x
  2. Step 2: Convert to fraction form
    337,896/731,560 = 731,560/x
  3. Step 3: Cross multiply
    337,896x = 731,560 × 731,560
  4. Step 4: Simplify right side
    337,896x = 535,180,033,600
  5. Step 5: Solve for x
    x = 535,180,033,600/337,896
  6. Step 6: Final answer
    x = 1,583,860.22

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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.