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Finding the Third Proportional to 337,928 and 725,776

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Solution

The third proportional to 337,928 and 725,776 is: 1,558,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,928 : 725,776 = 725,776 : x
  2. Step 2: Convert to fraction form
    337,928/725,776 = 725,776/x
  3. Step 3: Cross multiply
    337,928x = 725,776 × 725,776
  4. Step 4: Simplify right side
    337,928x = 526,750,802,176
  5. Step 5: Solve for x
    x = 526,750,802,176/337,928
  6. Step 6: Final answer
    x = 1,558,766.37

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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.