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Finding the Third Proportional to 231,706 and 497,310

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Solution

The third proportional to 231,706 and 497,310 is: 1,067,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,706 : 497,310 = 497,310 : x
  2. Step 2: Convert to fraction form
    231,706/497,310 = 497,310/x
  3. Step 3: Cross multiply
    231,706x = 497,310 × 497,310
  4. Step 4: Simplify right side
    231,706x = 247,317,236,100
  5. Step 5: Solve for x
    x = 247,317,236,100/231,706
  6. Step 6: Final answer
    x = 1,067,375.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.