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Finding the Third Proportional to 276,072 and 591,516

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Solution

The third proportional to 276,072 and 591,516 is: 1,267,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,072 : 591,516 = 591,516 : x
  2. Step 2: Convert to fraction form
    276,072/591,516 = 591,516/x
  3. Step 3: Cross multiply
    276,072x = 591,516 × 591,516
  4. Step 4: Simplify right side
    276,072x = 349,891,178,256
  5. Step 5: Solve for x
    x = 349,891,178,256/276,072
  6. Step 6: Final answer
    x = 1,267,391.04

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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.