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Finding the Third Proportional to 321,786 and 482,058

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Solution

The third proportional to 321,786 and 482,058 is: 722,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,786 : 482,058 = 482,058 : x
  2. Step 2: Convert to fraction form
    321,786/482,058 = 482,058/x
  3. Step 3: Cross multiply
    321,786x = 482,058 × 482,058
  4. Step 4: Simplify right side
    321,786x = 232,379,915,364
  5. Step 5: Solve for x
    x = 232,379,915,364/321,786
  6. Step 6: Final answer
    x = 722,156.70

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Why These Related Problems?

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