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Finding the Third Proportional to 225,864 and 490,632

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Solution

The third proportional to 225,864 and 490,632 is: 1,065,773.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,864 : 490,632 = 490,632 : x
  2. Step 2: Convert to fraction form
    225,864/490,632 = 490,632/x
  3. Step 3: Cross multiply
    225,864x = 490,632 × 490,632
  4. Step 4: Simplify right side
    225,864x = 240,719,759,424
  5. Step 5: Solve for x
    x = 240,719,759,424/225,864
  6. Step 6: Final answer
    x = 1,065,773.03

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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.