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Finding the Third Proportional to 312,420 and 681,376

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Solution

The third proportional to 312,420 and 681,376 is: 1,486,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,420 : 681,376 = 681,376 : x
  2. Step 2: Convert to fraction form
    312,420/681,376 = 681,376/x
  3. Step 3: Cross multiply
    312,420x = 681,376 × 681,376
  4. Step 4: Simplify right side
    312,420x = 464,273,253,376
  5. Step 5: Solve for x
    x = 464,273,253,376/312,420
  6. Step 6: Final answer
    x = 1,486,054.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.