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Finding the Third Proportional to 276,360 and 591,920

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Solution

The third proportional to 276,360 and 591,920 is: 1,267,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,360 : 591,920 = 591,920 : x
  2. Step 2: Convert to fraction form
    276,360/591,920 = 591,920/x
  3. Step 3: Cross multiply
    276,360x = 591,920 × 591,920
  4. Step 4: Simplify right side
    276,360x = 350,369,286,400
  5. Step 5: Solve for x
    x = 350,369,286,400/276,360
  6. Step 6: Final answer
    x = 1,267,800.28

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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.