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Finding the Third Proportional to 282,896 and 614,872

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Solution

The third proportional to 282,896 and 614,872 is: 1,336,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,896 : 614,872 = 614,872 : x
  2. Step 2: Convert to fraction form
    282,896/614,872 = 614,872/x
  3. Step 3: Cross multiply
    282,896x = 614,872 × 614,872
  4. Step 4: Simplify right side
    282,896x = 378,067,576,384
  5. Step 5: Solve for x
    x = 378,067,576,384/282,896
  6. Step 6: Final answer
    x = 1,336,418.95

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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.