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Finding the Third Proportional to 225,258 and 485,292

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Solution

The third proportional to 225,258 and 485,292 is: 1,045,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,258 : 485,292 = 485,292 : x
  2. Step 2: Convert to fraction form
    225,258/485,292 = 485,292/x
  3. Step 3: Cross multiply
    225,258x = 485,292 × 485,292
  4. Step 4: Simplify right side
    225,258x = 235,508,325,264
  5. Step 5: Solve for x
    x = 235,508,325,264/225,258
  6. Step 6: Final answer
    x = 1,045,504.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.