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Finding the Third Proportional to 443,442 and 676,234

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Solution

The third proportional to 443,442 and 676,234 is: 1,031,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,442 : 676,234 = 676,234 : x
  2. Step 2: Convert to fraction form
    443,442/676,234 = 676,234/x
  3. Step 3: Cross multiply
    443,442x = 676,234 × 676,234
  4. Step 4: Simplify right side
    443,442x = 457,292,422,756
  5. Step 5: Solve for x
    x = 457,292,422,756/443,442
  6. Step 6: Final answer
    x = 1,031,233.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.