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Finding the Third Proportional to 273,362 and 591,650

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Solution

The third proportional to 273,362 and 591,650 is: 1,280,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,362 : 591,650 = 591,650 : x
  2. Step 2: Convert to fraction form
    273,362/591,650 = 591,650/x
  3. Step 3: Cross multiply
    273,362x = 591,650 × 591,650
  4. Step 4: Simplify right side
    273,362x = 350,049,722,500
  5. Step 5: Solve for x
    x = 350,049,722,500/273,362
  6. Step 6: Final answer
    x = 1,280,535.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.