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Finding the Third Proportional to 221,312 and 479,884

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Solution

The third proportional to 221,312 and 479,884 is: 1,040,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,312 : 479,884 = 479,884 : x
  2. Step 2: Convert to fraction form
    221,312/479,884 = 479,884/x
  3. Step 3: Cross multiply
    221,312x = 479,884 × 479,884
  4. Step 4: Simplify right side
    221,312x = 230,288,653,456
  5. Step 5: Solve for x
    x = 230,288,653,456/221,312
  6. Step 6: Final answer
    x = 1,040,561.08

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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.