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Finding the Third Proportional to 225,768 and 497,976

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Solution

The third proportional to 225,768 and 497,976 is: 1,098,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,768 : 497,976 = 497,976 : x
  2. Step 2: Convert to fraction form
    225,768/497,976 = 497,976/x
  3. Step 3: Cross multiply
    225,768x = 497,976 × 497,976
  4. Step 4: Simplify right side
    225,768x = 247,980,096,576
  5. Step 5: Solve for x
    x = 247,980,096,576/225,768
  6. Step 6: Final answer
    x = 1,098,384.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.