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Finding the Third Proportional to 296,217 and 446,934.38

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Solution

The third proportional to 296,217 and 446,934.38 is: 674,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,217 : 446,934.38 = 446,934.38 : x
  2. Step 2: Convert to fraction form
    296,217/446,934.38 = 446,934.38/x
  3. Step 3: Cross multiply
    296,217x = 446,934.38 × 446,934.38
  4. Step 4: Simplify right side
    296,217x = 199,750,335,556.64
  5. Step 5: Solve for x
    x = 199,750,335,556.64/296,217
  6. Step 6: Final answer
    x = 674,337.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.