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Finding the Third Proportional to 213,924 and 332,718

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Solution

The third proportional to 213,924 and 332,718 is: 517,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,924 : 332,718 = 332,718 : x
  2. Step 2: Convert to fraction form
    213,924/332,718 = 332,718/x
  3. Step 3: Cross multiply
    213,924x = 332,718 × 332,718
  4. Step 4: Simplify right side
    213,924x = 110,701,267,524
  5. Step 5: Solve for x
    x = 110,701,267,524/213,924
  6. Step 6: Final answer
    x = 517,479.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.