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Finding the Third Proportional to 281,894 and 614,667

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Solution

The third proportional to 281,894 and 614,667 is: 1,340,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,894 : 614,667 = 614,667 : x
  2. Step 2: Convert to fraction form
    281,894/614,667 = 614,667/x
  3. Step 3: Cross multiply
    281,894x = 614,667 × 614,667
  4. Step 4: Simplify right side
    281,894x = 377,815,520,889
  5. Step 5: Solve for x
    x = 377,815,520,889/281,894
  6. Step 6: Final answer
    x = 1,340,275.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.