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Finding the Third Proportional to 299,432.25 and 452,256.75

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Solution

The third proportional to 299,432.25 and 452,256.75 is: 683,079.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432.25 : 452,256.75 = 452,256.75 : x
  2. Step 2: Convert to fraction form
    299,432.25/452,256.75 = 452,256.75/x
  3. Step 3: Cross multiply
    299,432.25x = 452,256.75 × 452,256.75
  4. Step 4: Simplify right side
    299,432.25x = 204,536,167,920.56
  5. Step 5: Solve for x
    x = 204,536,167,920.56/299,432.25
  6. Step 6: Final answer
    x = 683,079.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.