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Finding the Third Proportional to 328,785.75 and 683,402.06

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Solution

The third proportional to 328,785.75 and 683,402.06 is: 1,420,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,785.75 : 683,402.06 = 683,402.06 : x
  2. Step 2: Convert to fraction form
    328,785.75/683,402.06 = 683,402.06/x
  3. Step 3: Cross multiply
    328,785.75x = 683,402.06 × 683,402.06
  4. Step 4: Simplify right side
    328,785.75x = 467,038,379,029.25
  5. Step 5: Solve for x
    x = 467,038,379,029.25/328,785.75
  6. Step 6: Final answer
    x = 1,420,494.59

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.