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Finding the Third Proportional to 338,892 and 736,806

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Solution

The third proportional to 338,892 and 736,806 is: 1,601,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,892 : 736,806 = 736,806 : x
  2. Step 2: Convert to fraction form
    338,892/736,806 = 736,806/x
  3. Step 3: Cross multiply
    338,892x = 736,806 × 736,806
  4. Step 4: Simplify right side
    338,892x = 542,883,081,636
  5. Step 5: Solve for x
    x = 542,883,081,636/338,892
  6. Step 6: Final answer
    x = 1,601,935.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.