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Finding the Third Proportional to 319,392 and 752,760

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Solution

The third proportional to 319,392 and 752,760 is: 1,774,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,392 : 752,760 = 752,760 : x
  2. Step 2: Convert to fraction form
    319,392/752,760 = 752,760/x
  3. Step 3: Cross multiply
    319,392x = 752,760 × 752,760
  4. Step 4: Simplify right side
    319,392x = 566,647,617,600
  5. Step 5: Solve for x
    x = 566,647,617,600/319,392
  6. Step 6: Final answer
    x = 1,774,144.68

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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.