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Finding the Third Proportional to 225,202 and 494,708

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Solution

The third proportional to 225,202 and 494,708 is: 1,086,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,202 : 494,708 = 494,708 : x
  2. Step 2: Convert to fraction form
    225,202/494,708 = 494,708/x
  3. Step 3: Cross multiply
    225,202x = 494,708 × 494,708
  4. Step 4: Simplify right side
    225,202x = 244,736,005,264
  5. Step 5: Solve for x
    x = 244,736,005,264/225,202
  6. Step 6: Final answer
    x = 1,086,739.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.