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Finding the Third Proportional to 442,802 and 704,930

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Solution

The third proportional to 442,802 and 704,930 is: 1,122,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,802 : 704,930 = 704,930 : x
  2. Step 2: Convert to fraction form
    442,802/704,930 = 704,930/x
  3. Step 3: Cross multiply
    442,802x = 704,930 × 704,930
  4. Step 4: Simplify right side
    442,802x = 496,926,304,900
  5. Step 5: Solve for x
    x = 496,926,304,900/442,802
  6. Step 6: Final answer
    x = 1,122,231.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.