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Finding the Third Proportional to 280,098 and 614,619

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Solution

The third proportional to 280,098 and 614,619 is: 1,348,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,098 : 614,619 = 614,619 : x
  2. Step 2: Convert to fraction form
    280,098/614,619 = 614,619/x
  3. Step 3: Cross multiply
    280,098x = 614,619 × 614,619
  4. Step 4: Simplify right side
    280,098x = 377,756,515,161
  5. Step 5: Solve for x
    x = 377,756,515,161/280,098
  6. Step 6: Final answer
    x = 1,348,658.38

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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.