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Finding the Third Proportional to 328,596.75 and 706,269.38

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Solution

The third proportional to 328,596.75 and 706,269.38 is: 1,518,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,596.75 : 706,269.38 = 706,269.38 : x
  2. Step 2: Convert to fraction form
    328,596.75/706,269.38 = 706,269.38/x
  3. Step 3: Cross multiply
    328,596.75x = 706,269.38 × 706,269.38
  4. Step 4: Simplify right side
    328,596.75x = 498,816,430,062.89
  5. Step 5: Solve for x
    x = 498,816,430,062.89/328,596.75
  6. Step 6: Final answer
    x = 1,518,019.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.