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Finding the Third Proportional to 225,348 and 456,919

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Solution

The third proportional to 225,348 and 456,919 is: 926,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,348 : 456,919 = 456,919 : x
  2. Step 2: Convert to fraction form
    225,348/456,919 = 456,919/x
  3. Step 3: Cross multiply
    225,348x = 456,919 × 456,919
  4. Step 4: Simplify right side
    225,348x = 208,774,972,561
  5. Step 5: Solve for x
    x = 208,774,972,561/225,348
  6. Step 6: Final answer
    x = 926,455.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.