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Finding the Third Proportional to 312,291 and 671,940

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Solution

The third proportional to 312,291 and 671,940 is: 1,445,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,291 : 671,940 = 671,940 : x
  2. Step 2: Convert to fraction form
    312,291/671,940 = 671,940/x
  3. Step 3: Cross multiply
    312,291x = 671,940 × 671,940
  4. Step 4: Simplify right side
    312,291x = 451,503,363,600
  5. Step 5: Solve for x
    x = 451,503,363,600/312,291
  6. Step 6: Final answer
    x = 1,445,777.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.