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Finding the Third Proportional to 282,573 and 423,864

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Solution

The third proportional to 282,573 and 423,864 is: 635,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,573 : 423,864 = 423,864 : x
  2. Step 2: Convert to fraction form
    282,573/423,864 = 423,864/x
  3. Step 3: Cross multiply
    282,573x = 423,864 × 423,864
  4. Step 4: Simplify right side
    282,573x = 179,660,690,496
  5. Step 5: Solve for x
    x = 179,660,690,496/282,573
  6. Step 6: Final answer
    x = 635,802.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.