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Finding the Third Proportional to 328,596.75 and 479,965.50

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Solution

The third proportional to 328,596.75 and 479,965.50 is: 701,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,596.75 : 479,965.50 = 479,965.50 : x
  2. Step 2: Convert to fraction form
    328,596.75/479,965.50 = 479,965.50/x
  3. Step 3: Cross multiply
    328,596.75x = 479,965.50 × 479,965.50
  4. Step 4: Simplify right side
    328,596.75x = 230,366,881,190.25
  5. Step 5: Solve for x
    x = 230,366,881,190.25/328,596.75
  6. Step 6: Final answer
    x = 701,062.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.