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Finding the Third Proportional to 338,890 and 736,802

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Solution

The third proportional to 338,890 and 736,802 is: 1,601,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,890 : 736,802 = 736,802 : x
  2. Step 2: Convert to fraction form
    338,890/736,802 = 736,802/x
  3. Step 3: Cross multiply
    338,890x = 736,802 × 736,802
  4. Step 4: Simplify right side
    338,890x = 542,877,187,204
  5. Step 5: Solve for x
    x = 542,877,187,204/338,890
  6. Step 6: Final answer
    x = 1,601,927.43

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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.