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Finding the Third Proportional to 273,406 and 574,424

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Solution

The third proportional to 273,406 and 574,424 is: 1,206,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,406 : 574,424 = 574,424 : x
  2. Step 2: Convert to fraction form
    273,406/574,424 = 574,424/x
  3. Step 3: Cross multiply
    273,406x = 574,424 × 574,424
  4. Step 4: Simplify right side
    273,406x = 329,962,931,776
  5. Step 5: Solve for x
    x = 329,962,931,776/273,406
  6. Step 6: Final answer
    x = 1,206,860.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.