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Finding the Third Proportional to 337,926 and 725,772

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Solution

The third proportional to 337,926 and 725,772 is: 1,558,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,926 : 725,772 = 725,772 : x
  2. Step 2: Convert to fraction form
    337,926/725,772 = 725,772/x
  3. Step 3: Cross multiply
    337,926x = 725,772 × 725,772
  4. Step 4: Simplify right side
    337,926x = 526,744,995,984
  5. Step 5: Solve for x
    x = 526,744,995,984/337,926
  6. Step 6: Final answer
    x = 1,558,758.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.