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Finding the Third Proportional to 328,740.75 and 491,788.13

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Solution

The third proportional to 328,740.75 and 491,788.13 is: 735,703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,740.75 : 491,788.13 = 491,788.13 : x
  2. Step 2: Convert to fraction form
    328,740.75/491,788.13 = 491,788.13/x
  3. Step 3: Cross multiply
    328,740.75x = 491,788.13 × 491,788.13
  4. Step 4: Simplify right side
    328,740.75x = 241,855,559,891.02
  5. Step 5: Solve for x
    x = 241,855,559,891.02/328,740.75
  6. Step 6: Final answer
    x = 735,703.01

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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.