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Finding the Third Proportional to 225,602 and 476,260

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Solution

The third proportional to 225,602 and 476,260 is: 1,005,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,602 : 476,260 = 476,260 : x
  2. Step 2: Convert to fraction form
    225,602/476,260 = 476,260/x
  3. Step 3: Cross multiply
    225,602x = 476,260 × 476,260
  4. Step 4: Simplify right side
    225,602x = 226,823,587,600
  5. Step 5: Solve for x
    x = 226,823,587,600/225,602
  6. Step 6: Final answer
    x = 1,005,414.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.