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Finding the Third Proportional to 229,245 and 497,874

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Solution

The third proportional to 229,245 and 497,874 is: 1,081,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,245 : 497,874 = 497,874 : x
  2. Step 2: Convert to fraction form
    229,245/497,874 = 497,874/x
  3. Step 3: Cross multiply
    229,245x = 497,874 × 497,874
  4. Step 4: Simplify right side
    229,245x = 247,878,519,876
  5. Step 5: Solve for x
    x = 247,878,519,876/229,245
  6. Step 6: Final answer
    x = 1,081,282.12

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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.