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Finding the Third Proportional to 323,444.25 and 463,147.88

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Solution

The third proportional to 323,444.25 and 463,147.88 is: 663,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,444.25 : 463,147.88 = 463,147.88 : x
  2. Step 2: Convert to fraction form
    323,444.25/463,147.88 = 463,147.88/x
  3. Step 3: Cross multiply
    323,444.25x = 463,147.88 × 463,147.88
  4. Step 4: Simplify right side
    323,444.25x = 214,505,954,117.02
  5. Step 5: Solve for x
    x = 214,505,954,117.02/323,444.25
  6. Step 6: Final answer
    x = 663,192.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.