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Finding the Third Proportional to 329,188 and 708,317

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Solution

The third proportional to 329,188 and 708,317 is: 1,524,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,188 : 708,317 = 708,317 : x
  2. Step 2: Convert to fraction form
    329,188/708,317 = 708,317/x
  3. Step 3: Cross multiply
    329,188x = 708,317 × 708,317
  4. Step 4: Simplify right side
    329,188x = 501,712,972,489
  5. Step 5: Solve for x
    x = 501,712,972,489/329,188
  6. Step 6: Final answer
    x = 1,524,092.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.