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Finding the Third Proportional to 328,092.75 and 469,172.25

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Solution

The third proportional to 328,092.75 and 469,172.25 is: 670,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,092.75 : 469,172.25 = 469,172.25 : x
  2. Step 2: Convert to fraction form
    328,092.75/469,172.25 = 469,172.25/x
  3. Step 3: Cross multiply
    328,092.75x = 469,172.25 × 469,172.25
  4. Step 4: Simplify right side
    328,092.75x = 220,122,600,170.06
  5. Step 5: Solve for x
    x = 220,122,600,170.06/328,092.75
  6. Step 6: Final answer
    x = 670,915.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.