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Finding the Third Proportional to 328,236.50 and 712,493

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Solution

The third proportional to 328,236.50 and 712,493 is: 1,546,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,236.50 : 712,493 = 712,493 : x
  2. Step 2: Convert to fraction form
    328,236.50/712,493 = 712,493/x
  3. Step 3: Cross multiply
    328,236.50x = 712,493 × 712,493
  4. Step 4: Simplify right side
    328,236.50x = 507,646,275,049
  5. Step 5: Solve for x
    x = 507,646,275,049/328,236.50
  6. Step 6: Final answer
    x = 1,546,586.91

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Why These Related Problems?

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