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Finding the Third Proportional to 443,344 and 669,672

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Solution

The third proportional to 443,344 and 669,672 is: 1,011,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,344 : 669,672 = 669,672 : x
  2. Step 2: Convert to fraction form
    443,344/669,672 = 669,672/x
  3. Step 3: Cross multiply
    443,344x = 669,672 × 669,672
  4. Step 4: Simplify right side
    443,344x = 448,460,587,584
  5. Step 5: Solve for x
    x = 448,460,587,584/443,344
  6. Step 6: Final answer
    x = 1,011,540.90

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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.