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Finding the Third Proportional to 442,822 and 704,961

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Solution

The third proportional to 442,822 and 704,961 is: 1,122,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,822 : 704,961 = 704,961 : x
  2. Step 2: Convert to fraction form
    442,822/704,961 = 704,961/x
  3. Step 3: Cross multiply
    442,822x = 704,961 × 704,961
  4. Step 4: Simplify right side
    442,822x = 496,970,011,521
  5. Step 5: Solve for x
    x = 496,970,011,521/442,822
  6. Step 6: Final answer
    x = 1,122,279.41

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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.