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Finding the Third Proportional to 281,340 and 614,344

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Solution

The third proportional to 281,340 and 614,344 is: 1,341,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,340 : 614,344 = 614,344 : x
  2. Step 2: Convert to fraction form
    281,340/614,344 = 614,344/x
  3. Step 3: Cross multiply
    281,340x = 614,344 × 614,344
  4. Step 4: Simplify right side
    281,340x = 377,418,550,336
  5. Step 5: Solve for x
    x = 377,418,550,336/281,340
  6. Step 6: Final answer
    x = 1,341,503.34

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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.