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Finding the Third Proportional to 225,432 and 476,010

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Solution

The third proportional to 225,432 and 476,010 is: 1,005,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,432 : 476,010 = 476,010 : x
  2. Step 2: Convert to fraction form
    225,432/476,010 = 476,010/x
  3. Step 3: Cross multiply
    225,432x = 476,010 × 476,010
  4. Step 4: Simplify right side
    225,432x = 226,585,520,100
  5. Step 5: Solve for x
    x = 226,585,520,100/225,432
  6. Step 6: Final answer
    x = 1,005,116.93

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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.