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Finding the Third Proportional to 339,561 and 707,026

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Solution

The third proportional to 339,561 and 707,026 is: 1,472,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,561 : 707,026 = 707,026 : x
  2. Step 2: Convert to fraction form
    339,561/707,026 = 707,026/x
  3. Step 3: Cross multiply
    339,561x = 707,026 × 707,026
  4. Step 4: Simplify right side
    339,561x = 499,885,764,676
  5. Step 5: Solve for x
    x = 499,885,764,676/339,561
  6. Step 6: Final answer
    x = 1,472,153.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.