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Finding the Third Proportional to 273,348 and 591,624

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Solution

The third proportional to 273,348 and 591,624 is: 1,280,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,348 : 591,624 = 591,624 : x
  2. Step 2: Convert to fraction form
    273,348/591,624 = 591,624/x
  3. Step 3: Cross multiply
    273,348x = 591,624 × 591,624
  4. Step 4: Simplify right side
    273,348x = 350,018,957,376
  5. Step 5: Solve for x
    x = 350,018,957,376/273,348
  6. Step 6: Final answer
    x = 1,280,488.45

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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.