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Finding the Third Proportional to 276,087 and 591,510

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Solution

The third proportional to 276,087 and 591,510 is: 1,267,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,087 : 591,510 = 591,510 : x
  2. Step 2: Convert to fraction form
    276,087/591,510 = 591,510/x
  3. Step 3: Cross multiply
    276,087x = 591,510 × 591,510
  4. Step 4: Simplify right side
    276,087x = 349,884,080,100
  5. Step 5: Solve for x
    x = 349,884,080,100/276,087
  6. Step 6: Final answer
    x = 1,267,296.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.