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Finding the Third Proportional to 321,788 and 482,061

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Solution

The third proportional to 321,788 and 482,061 is: 722,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,788 : 482,061 = 482,061 : x
  2. Step 2: Convert to fraction form
    321,788/482,061 = 482,061/x
  3. Step 3: Cross multiply
    321,788x = 482,061 × 482,061
  4. Step 4: Simplify right side
    321,788x = 232,382,807,721
  5. Step 5: Solve for x
    x = 232,382,807,721/321,788
  6. Step 6: Final answer
    x = 722,161.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.