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Finding the Third Proportional to 442,822 and 704,963

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Solution

The third proportional to 442,822 and 704,963 is: 1,122,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,822 : 704,963 = 704,963 : x
  2. Step 2: Convert to fraction form
    442,822/704,963 = 704,963/x
  3. Step 3: Cross multiply
    442,822x = 704,963 × 704,963
  4. Step 4: Simplify right side
    442,822x = 496,972,831,369
  5. Step 5: Solve for x
    x = 496,972,831,369/442,822
  6. Step 6: Final answer
    x = 1,122,285.77

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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.