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Finding the Third Proportional to 328,873.50 and 491,988

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Solution

The third proportional to 328,873.50 and 491,988 is: 736,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,873.50 : 491,988 = 491,988 : x
  2. Step 2: Convert to fraction form
    328,873.50/491,988 = 491,988/x
  3. Step 3: Cross multiply
    328,873.50x = 491,988 × 491,988
  4. Step 4: Simplify right side
    328,873.50x = 242,052,192,144
  5. Step 5: Solve for x
    x = 242,052,192,144/328,873.50
  6. Step 6: Final answer
    x = 736,003.94

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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.