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Finding the Third Proportional to 329,417 and 719,067

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Solution

The third proportional to 329,417 and 719,067 is: 1,569,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,417 : 719,067 = 719,067 : x
  2. Step 2: Convert to fraction form
    329,417/719,067 = 719,067/x
  3. Step 3: Cross multiply
    329,417x = 719,067 × 719,067
  4. Step 4: Simplify right side
    329,417x = 517,057,350,489
  5. Step 5: Solve for x
    x = 517,057,350,489/329,417
  6. Step 6: Final answer
    x = 1,569,613.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.