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Finding the Third Proportional to 367,070 and 538,474

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Solution

The third proportional to 367,070 and 538,474 is: 789,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,070 : 538,474 = 538,474 : x
  2. Step 2: Convert to fraction form
    367,070/538,474 = 538,474/x
  3. Step 3: Cross multiply
    367,070x = 538,474 × 538,474
  4. Step 4: Simplify right side
    367,070x = 289,954,248,676
  5. Step 5: Solve for x
    x = 289,954,248,676/367,070
  6. Step 6: Final answer
    x = 789,915.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.