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Finding the Third Proportional to 328,198.50 and 725,287.50

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Solution

The third proportional to 328,198.50 and 725,287.50 is: 1,602,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,198.50 : 725,287.50 = 725,287.50 : x
  2. Step 2: Convert to fraction form
    328,198.50/725,287.50 = 725,287.50/x
  3. Step 3: Cross multiply
    328,198.50x = 725,287.50 × 725,287.50
  4. Step 4: Simplify right side
    328,198.50x = 526,041,957,656.25
  5. Step 5: Solve for x
    x = 526,041,957,656.25/328,198.50
  6. Step 6: Final answer
    x = 1,602,816.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.