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Finding the Third Proportional to 418,672.13 and 908,234.44

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Solution

The third proportional to 418,672.13 and 908,234.44 is: 1,970,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,672.13 : 908,234.44 = 908,234.44 : x
  2. Step 2: Convert to fraction form
    418,672.13/908,234.44 = 908,234.44/x
  3. Step 3: Cross multiply
    418,672.13x = 908,234.44 × 908,234.44
  4. Step 4: Simplify right side
    418,672.13x = 824,889,793,460.94
  5. Step 5: Solve for x
    x = 824,889,793,460.94/418,672.13
  6. Step 6: Final answer
    x = 1,970,252.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.