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Finding the Third Proportional to 230,866 and 354,621

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Solution

The third proportional to 230,866 and 354,621 is: 544,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,866 : 354,621 = 354,621 : x
  2. Step 2: Convert to fraction form
    230,866/354,621 = 354,621/x
  3. Step 3: Cross multiply
    230,866x = 354,621 × 354,621
  4. Step 4: Simplify right side
    230,866x = 125,756,053,641
  5. Step 5: Solve for x
    x = 125,756,053,641/230,866
  6. Step 6: Final answer
    x = 544,714.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.