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Finding the Third Proportional to 413,621.44 and 632,333.46

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Solution

The third proportional to 413,621.44 and 632,333.46 is: 966,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,621.44 : 632,333.46 = 632,333.46 : x
  2. Step 2: Convert to fraction form
    413,621.44/632,333.46 = 632,333.46/x
  3. Step 3: Cross multiply
    413,621.44x = 632,333.46 × 632,333.46
  4. Step 4: Simplify right side
    413,621.44x = 399,845,605,821.20
  5. Step 5: Solve for x
    x = 399,845,605,821.20/413,621.44
  6. Step 6: Final answer
    x = 966,694.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.