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Finding the Third Proportional to 282,572 and 613,744

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Solution

The third proportional to 282,572 and 613,744 is: 1,333,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,572 : 613,744 = 613,744 : x
  2. Step 2: Convert to fraction form
    282,572/613,744 = 613,744/x
  3. Step 3: Cross multiply
    282,572x = 613,744 × 613,744
  4. Step 4: Simplify right side
    282,572x = 376,681,697,536
  5. Step 5: Solve for x
    x = 376,681,697,536/282,572
  6. Step 6: Final answer
    x = 1,333,046.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.