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Finding the Third Proportional to 443,357 and 687,907

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Solution

The third proportional to 443,357 and 687,907 is: 1,067,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,357 : 687,907 = 687,907 : x
  2. Step 2: Convert to fraction form
    443,357/687,907 = 687,907/x
  3. Step 3: Cross multiply
    443,357x = 687,907 × 687,907
  4. Step 4: Simplify right side
    443,357x = 473,216,040,649
  5. Step 5: Solve for x
    x = 473,216,040,649/443,357
  6. Step 6: Final answer
    x = 1,067,347.62

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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.