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Finding the Third Proportional to 321,848 and 707,092

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Solution

The third proportional to 321,848 and 707,092 is: 1,553,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,848 : 707,092 = 707,092 : x
  2. Step 2: Convert to fraction form
    321,848/707,092 = 707,092/x
  3. Step 3: Cross multiply
    321,848x = 707,092 × 707,092
  4. Step 4: Simplify right side
    321,848x = 499,979,096,464
  5. Step 5: Solve for x
    x = 499,979,096,464/321,848
  6. Step 6: Final answer
    x = 1,553,463.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.