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Finding the Third Proportional to 337,338 and 526,743

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Solution

The third proportional to 337,338 and 526,743 is: 822,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,338 : 526,743 = 526,743 : x
  2. Step 2: Convert to fraction form
    337,338/526,743 = 526,743/x
  3. Step 3: Cross multiply
    337,338x = 526,743 × 526,743
  4. Step 4: Simplify right side
    337,338x = 277,458,188,049
  5. Step 5: Solve for x
    x = 277,458,188,049/337,338
  6. Step 6: Final answer
    x = 822,493.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.