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Finding the Third Proportional to 349,892 and 730,846

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Solution

The third proportional to 349,892 and 730,846 is: 1,526,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,892 : 730,846 = 730,846 : x
  2. Step 2: Convert to fraction form
    349,892/730,846 = 730,846/x
  3. Step 3: Cross multiply
    349,892x = 730,846 × 730,846
  4. Step 4: Simplify right side
    349,892x = 534,135,875,716
  5. Step 5: Solve for x
    x = 534,135,875,716/349,892
  6. Step 6: Final answer
    x = 1,526,573.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.