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Finding the Third Proportional to 328,920.75 and 481,717.13

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Solution

The third proportional to 328,920.75 and 481,717.13 is: 705,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,920.75 : 481,717.13 = 481,717.13 : x
  2. Step 2: Convert to fraction form
    328,920.75/481,717.13 = 481,717.13/x
  3. Step 3: Cross multiply
    328,920.75x = 481,717.13 × 481,717.13
  4. Step 4: Simplify right side
    328,920.75x = 232,051,388,518.27
  5. Step 5: Solve for x
    x = 232,051,388,518.27/328,920.75
  6. Step 6: Final answer
    x = 705,493.31

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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.