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Finding the Third Proportional to 328,396 and 708,092

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Solution

The third proportional to 328,396 and 708,092 is: 1,526,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,396 : 708,092 = 708,092 : x
  2. Step 2: Convert to fraction form
    328,396/708,092 = 708,092/x
  3. Step 3: Cross multiply
    328,396x = 708,092 × 708,092
  4. Step 4: Simplify right side
    328,396x = 501,394,280,464
  5. Step 5: Solve for x
    x = 501,394,280,464/328,396
  6. Step 6: Final answer
    x = 1,526,797.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.