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Finding the Third Proportional to 312,837 and 687,882

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Solution

The third proportional to 312,837 and 687,882 is: 1,512,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,837 : 687,882 = 687,882 : x
  2. Step 2: Convert to fraction form
    312,837/687,882 = 687,882/x
  3. Step 3: Cross multiply
    312,837x = 687,882 × 687,882
  4. Step 4: Simplify right side
    312,837x = 473,181,645,924
  5. Step 5: Solve for x
    x = 473,181,645,924/312,837
  6. Step 6: Final answer
    x = 1,512,550.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.