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Finding the Third Proportional to 328,032 and 717,336

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Solution

The third proportional to 328,032 and 717,336 is: 1,568,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,032 : 717,336 = 717,336 : x
  2. Step 2: Convert to fraction form
    328,032/717,336 = 717,336/x
  3. Step 3: Cross multiply
    328,032x = 717,336 × 717,336
  4. Step 4: Simplify right side
    328,032x = 514,570,936,896
  5. Step 5: Solve for x
    x = 514,570,936,896/328,032
  6. Step 6: Final answer
    x = 1,568,660.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.