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Finding the Third Proportional to 280,204 and 614,840

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Solution

The third proportional to 280,204 and 614,840 is: 1,349,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,204 : 614,840 = 614,840 : x
  2. Step 2: Convert to fraction form
    280,204/614,840 = 614,840/x
  3. Step 3: Cross multiply
    280,204x = 614,840 × 614,840
  4. Step 4: Simplify right side
    280,204x = 378,028,225,600
  5. Step 5: Solve for x
    x = 378,028,225,600/280,204
  6. Step 6: Final answer
    x = 1,349,117.88

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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.