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Finding the Third Proportional to 225,348 and 456,918.75

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Solution

The third proportional to 225,348 and 456,918.75 is: 926,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,348 : 456,918.75 = 456,918.75 : x
  2. Step 2: Convert to fraction form
    225,348/456,918.75 = 456,918.75/x
  3. Step 3: Cross multiply
    225,348x = 456,918.75 × 456,918.75
  4. Step 4: Simplify right side
    225,348x = 208,774,744,101.56
  5. Step 5: Solve for x
    x = 208,774,744,101.56/225,348
  6. Step 6: Final answer
    x = 926,454.83

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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.