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Finding the Third Proportional to 338,838 and 736,698

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Solution

The third proportional to 338,838 and 736,698 is: 1,601,721.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,838 : 736,698 = 736,698 : x
  2. Step 2: Convert to fraction form
    338,838/736,698 = 736,698/x
  3. Step 3: Cross multiply
    338,838x = 736,698 × 736,698
  4. Step 4: Simplify right side
    338,838x = 542,723,943,204
  5. Step 5: Solve for x
    x = 542,723,943,204/338,838
  6. Step 6: Final answer
    x = 1,601,721.01

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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.