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Finding the Third Proportional to 315,068 and 691,372

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Solution

The third proportional to 315,068 and 691,372 is: 1,517,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,068 : 691,372 = 691,372 : x
  2. Step 2: Convert to fraction form
    315,068/691,372 = 691,372/x
  3. Step 3: Cross multiply
    315,068x = 691,372 × 691,372
  4. Step 4: Simplify right side
    315,068x = 477,995,242,384
  5. Step 5: Solve for x
    x = 477,995,242,384/315,068
  6. Step 6: Final answer
    x = 1,517,117.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.