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Finding the Third Proportional to 323,066 and 662,251

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Solution

The third proportional to 323,066 and 662,251 is: 1,357,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,066 : 662,251 = 662,251 : x
  2. Step 2: Convert to fraction form
    323,066/662,251 = 662,251/x
  3. Step 3: Cross multiply
    323,066x = 662,251 × 662,251
  4. Step 4: Simplify right side
    323,066x = 438,576,387,001
  5. Step 5: Solve for x
    x = 438,576,387,001/323,066
  6. Step 6: Final answer
    x = 1,357,544.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.