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Finding the Third Proportional to 319,398 and 752,775

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Solution

The third proportional to 319,398 and 752,775 is: 1,774,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,398 : 752,775 = 752,775 : x
  2. Step 2: Convert to fraction form
    319,398/752,775 = 752,775/x
  3. Step 3: Cross multiply
    319,398x = 752,775 × 752,775
  4. Step 4: Simplify right side
    319,398x = 566,670,200,625
  5. Step 5: Solve for x
    x = 566,670,200,625/319,398
  6. Step 6: Final answer
    x = 1,774,182.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.