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Finding the Third Proportional to 280,202 and 614,836

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Solution

The third proportional to 280,202 and 614,836 is: 1,349,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,202 : 614,836 = 614,836 : x
  2. Step 2: Convert to fraction form
    280,202/614,836 = 614,836/x
  3. Step 3: Cross multiply
    280,202x = 614,836 × 614,836
  4. Step 4: Simplify right side
    280,202x = 378,023,306,896
  5. Step 5: Solve for x
    x = 378,023,306,896/280,202
  6. Step 6: Final answer
    x = 1,349,109.95

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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.