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Finding the Third Proportional to 280,093 and 614,610

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Solution

The third proportional to 280,093 and 614,610 is: 1,348,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,093 : 614,610 = 614,610 : x
  2. Step 2: Convert to fraction form
    280,093/614,610 = 614,610/x
  3. Step 3: Cross multiply
    280,093x = 614,610 × 614,610
  4. Step 4: Simplify right side
    280,093x = 377,745,452,100
  5. Step 5: Solve for x
    x = 377,745,452,100/280,093
  6. Step 6: Final answer
    x = 1,348,642.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.