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Finding the Third Proportional to 276,100 and 597,344

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Solution

The third proportional to 276,100 and 597,344 is: 1,292,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,100 : 597,344 = 597,344 : x
  2. Step 2: Convert to fraction form
    276,100/597,344 = 597,344/x
  3. Step 3: Cross multiply
    276,100x = 597,344 × 597,344
  4. Step 4: Simplify right side
    276,100x = 356,819,854,336
  5. Step 5: Solve for x
    x = 356,819,854,336/276,100
  6. Step 6: Final answer
    x = 1,292,357.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.