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Finding the Third Proportional to 276,949.13 and 599,734.13

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Solution

The third proportional to 276,949.13 and 599,734.13 is: 1,298,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,949.13 : 599,734.13 = 599,734.13 : x
  2. Step 2: Convert to fraction form
    276,949.13/599,734.13 = 599,734.13/x
  3. Step 3: Cross multiply
    276,949.13x = 599,734.13 × 599,734.13
  4. Step 4: Simplify right side
    276,949.13x = 359,681,020,689.52
  5. Step 5: Solve for x
    x = 359,681,020,689.52/276,949.13
  6. Step 6: Final answer
    x = 1,298,725.97

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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.