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Finding the Third Proportional to 512,408.53 and 814,232.25

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Solution

The third proportional to 512,408.53 and 814,232.25 is: 1,293,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,408.53 : 814,232.25 = 814,232.25 : x
  2. Step 2: Convert to fraction form
    512,408.53/814,232.25 = 814,232.25/x
  3. Step 3: Cross multiply
    512,408.53x = 814,232.25 × 814,232.25
  4. Step 4: Simplify right side
    512,408.53x = 662,974,156,940.06
  5. Step 5: Solve for x
    x = 662,974,156,940.06/512,408.53
  6. Step 6: Final answer
    x = 1,293,839.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.