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Finding the Third Proportional to 281,487.38 and 436,512.38

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Solution

The third proportional to 281,487.38 and 436,512.38 is: 676,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,487.38 : 436,512.38 = 436,512.38 : x
  2. Step 2: Convert to fraction form
    281,487.38/436,512.38 = 436,512.38/x
  3. Step 3: Cross multiply
    281,487.38x = 436,512.38 × 436,512.38
  4. Step 4: Simplify right side
    281,487.38x = 190,543,053,528.14
  5. Step 5: Solve for x
    x = 190,543,053,528.14/281,487.38
  6. Step 6: Final answer
    x = 676,915.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.