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Finding the Third Proportional to 280,112 and 614,644

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Solution

The third proportional to 280,112 and 614,644 is: 1,348,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,112 : 614,644 = 614,644 : x
  2. Step 2: Convert to fraction form
    280,112/614,644 = 614,644/x
  3. Step 3: Cross multiply
    280,112x = 614,644 × 614,644
  4. Step 4: Simplify right side
    280,112x = 377,787,246,736
  5. Step 5: Solve for x
    x = 377,787,246,736/280,112
  6. Step 6: Final answer
    x = 1,348,700.69

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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.