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Finding the Third Proportional to 281,414.25 and 602,194.50

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Solution

The third proportional to 281,414.25 and 602,194.50 is: 1,288,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,414.25 : 602,194.50 = 602,194.50 : x
  2. Step 2: Convert to fraction form
    281,414.25/602,194.50 = 602,194.50/x
  3. Step 3: Cross multiply
    281,414.25x = 602,194.50 × 602,194.50
  4. Step 4: Simplify right side
    281,414.25x = 362,638,215,830.25
  5. Step 5: Solve for x
    x = 362,638,215,830.25/281,414.25
  6. Step 6: Final answer
    x = 1,288,627.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.