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Finding the Third Proportional to 312,252 and 676,614

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Solution

The third proportional to 312,252 and 676,614 is: 1,466,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,252 : 676,614 = 676,614 : x
  2. Step 2: Convert to fraction form
    312,252/676,614 = 676,614/x
  3. Step 3: Cross multiply
    312,252x = 676,614 × 676,614
  4. Step 4: Simplify right side
    312,252x = 457,806,504,996
  5. Step 5: Solve for x
    x = 457,806,504,996/312,252
  6. Step 6: Final answer
    x = 1,466,144.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.