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Finding the Third Proportional to 328,197 and 491,748

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Solution

The third proportional to 328,197 and 491,748 is: 736,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,197 : 491,748 = 491,748 : x
  2. Step 2: Convert to fraction form
    328,197/491,748 = 491,748/x
  3. Step 3: Cross multiply
    328,197x = 491,748 × 491,748
  4. Step 4: Simplify right side
    328,197x = 241,816,095,504
  5. Step 5: Solve for x
    x = 241,816,095,504/328,197
  6. Step 6: Final answer
    x = 736,801.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.