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Finding the Third Proportional to 443,049.75 and 669,859.88

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Solution

The third proportional to 443,049.75 and 669,859.88 is: 1,012,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,049.75 : 669,859.88 = 669,859.88 : x
  2. Step 2: Convert to fraction form
    443,049.75/669,859.88 = 669,859.88/x
  3. Step 3: Cross multiply
    443,049.75x = 669,859.88 × 669,859.88
  4. Step 4: Simplify right side
    443,049.75x = 448,712,252,135.02
  5. Step 5: Solve for x
    x = 448,712,252,135.02/443,049.75
  6. Step 6: Final answer
    x = 1,012,780.74

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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.