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Finding the Third Proportional to 344,892 and 538,296

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Solution

The third proportional to 344,892 and 538,296 is: 840,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,892 : 538,296 = 538,296 : x
  2. Step 2: Convert to fraction form
    344,892/538,296 = 538,296/x
  3. Step 3: Cross multiply
    344,892x = 538,296 × 538,296
  4. Step 4: Simplify right side
    344,892x = 289,762,583,616
  5. Step 5: Solve for x
    x = 289,762,583,616/344,892
  6. Step 6: Final answer
    x = 840,154.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.