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Finding the Third Proportional to 234,436 and 367,494

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Solution

The third proportional to 234,436 and 367,494 is: 576,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,436 : 367,494 = 367,494 : x
  2. Step 2: Convert to fraction form
    234,436/367,494 = 367,494/x
  3. Step 3: Cross multiply
    234,436x = 367,494 × 367,494
  4. Step 4: Simplify right side
    234,436x = 135,051,840,036
  5. Step 5: Solve for x
    x = 135,051,840,036/234,436
  6. Step 6: Final answer
    x = 576,071.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.