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Finding the Third Proportional to 225,440 and 476,026

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Solution

The third proportional to 225,440 and 476,026 is: 1,005,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,440 : 476,026 = 476,026 : x
  2. Step 2: Convert to fraction form
    225,440/476,026 = 476,026/x
  3. Step 3: Cross multiply
    225,440x = 476,026 × 476,026
  4. Step 4: Simplify right side
    225,440x = 226,600,752,676
  5. Step 5: Solve for x
    x = 226,600,752,676/225,440
  6. Step 6: Final answer
    x = 1,005,148.83

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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.