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Finding the Third Proportional to 276,347 and 599,350

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Solution

The third proportional to 276,347 and 599,350 is: 1,299,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,347 : 599,350 = 599,350 : x
  2. Step 2: Convert to fraction form
    276,347/599,350 = 599,350/x
  3. Step 3: Cross multiply
    276,347x = 599,350 × 599,350
  4. Step 4: Simplify right side
    276,347x = 359,220,422,500
  5. Step 5: Solve for x
    x = 359,220,422,500/276,347
  6. Step 6: Final answer
    x = 1,299,888.99

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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.