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Finding the Third Proportional to 328,207.50 and 712,494

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Solution

The third proportional to 328,207.50 and 712,494 is: 1,546,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,207.50 : 712,494 = 712,494 : x
  2. Step 2: Convert to fraction form
    328,207.50/712,494 = 712,494/x
  3. Step 3: Cross multiply
    328,207.50x = 712,494 × 712,494
  4. Step 4: Simplify right side
    328,207.50x = 507,647,700,036
  5. Step 5: Solve for x
    x = 507,647,700,036/328,207.50
  6. Step 6: Final answer
    x = 1,546,727.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.