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Finding the Third Proportional to 225,920 and 482,864

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Solution

The third proportional to 225,920 and 482,864 is: 1,032,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,920 : 482,864 = 482,864 : x
  2. Step 2: Convert to fraction form
    225,920/482,864 = 482,864/x
  3. Step 3: Cross multiply
    225,920x = 482,864 × 482,864
  4. Step 4: Simplify right side
    225,920x = 233,157,642,496
  5. Step 5: Solve for x
    x = 233,157,642,496/225,920
  6. Step 6: Final answer
    x = 1,032,036.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.