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Finding the Third Proportional to 443,867 and 686,516

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Solution

The third proportional to 443,867 and 686,516 is: 1,061,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,867 : 686,516 = 686,516 : x
  2. Step 2: Convert to fraction form
    443,867/686,516 = 686,516/x
  3. Step 3: Cross multiply
    443,867x = 686,516 × 686,516
  4. Step 4: Simplify right side
    443,867x = 471,304,218,256
  5. Step 5: Solve for x
    x = 471,304,218,256/443,867
  6. Step 6: Final answer
    x = 1,061,814.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.