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Finding the Third Proportional to 313,597 and 677,494

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Solution

The third proportional to 313,597 and 677,494 is: 1,463,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,597 : 677,494 = 677,494 : x
  2. Step 2: Convert to fraction form
    313,597/677,494 = 677,494/x
  3. Step 3: Cross multiply
    313,597x = 677,494 × 677,494
  4. Step 4: Simplify right side
    313,597x = 458,998,120,036
  5. Step 5: Solve for x
    x = 458,998,120,036/313,597
  6. Step 6: Final answer
    x = 1,463,655.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.