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Finding the Third Proportional to 328,378.50 and 709,149

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Solution

The third proportional to 328,378.50 and 709,149 is: 1,531,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,378.50 : 709,149 = 709,149 : x
  2. Step 2: Convert to fraction form
    328,378.50/709,149 = 709,149/x
  3. Step 3: Cross multiply
    328,378.50x = 709,149 × 709,149
  4. Step 4: Simplify right side
    328,378.50x = 502,892,304,201
  5. Step 5: Solve for x
    x = 502,892,304,201/328,378.50
  6. Step 6: Final answer
    x = 1,531,441.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.