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Finding the Third Proportional to 338,626 and 497,824

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Solution

The third proportional to 338,626 and 497,824 is: 731,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,626 : 497,824 = 497,824 : x
  2. Step 2: Convert to fraction form
    338,626/497,824 = 497,824/x
  3. Step 3: Cross multiply
    338,626x = 497,824 × 497,824
  4. Step 4: Simplify right side
    338,626x = 247,828,734,976
  5. Step 5: Solve for x
    x = 247,828,734,976/338,626
  6. Step 6: Final answer
    x = 731,865.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.