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Finding the Third Proportional to 246,456 and 391,764

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Solution

The third proportional to 246,456 and 391,764 is: 622,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,456 : 391,764 = 391,764 : x
  2. Step 2: Convert to fraction form
    246,456/391,764 = 391,764/x
  3. Step 3: Cross multiply
    246,456x = 391,764 × 391,764
  4. Step 4: Simplify right side
    246,456x = 153,479,031,696
  5. Step 5: Solve for x
    x = 153,479,031,696/246,456
  6. Step 6: Final answer
    x = 622,744.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.