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Finding the Third Proportional to 337,924 and 725,768

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Solution

The third proportional to 337,924 and 725,768 is: 1,558,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,924 : 725,768 = 725,768 : x
  2. Step 2: Convert to fraction form
    337,924/725,768 = 725,768/x
  3. Step 3: Cross multiply
    337,924x = 725,768 × 725,768
  4. Step 4: Simplify right side
    337,924x = 526,739,189,824
  5. Step 5: Solve for x
    x = 526,739,189,824/337,924
  6. Step 6: Final answer
    x = 1,558,750.46

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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.