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Finding the Third Proportional to 311,487.75 and 458,478

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Solution

The third proportional to 311,487.75 and 458,478 is: 674,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,487.75 : 458,478 = 458,478 : x
  2. Step 2: Convert to fraction form
    311,487.75/458,478 = 458,478/x
  3. Step 3: Cross multiply
    311,487.75x = 458,478 × 458,478
  4. Step 4: Simplify right side
    311,487.75x = 210,202,076,484
  5. Step 5: Solve for x
    x = 210,202,076,484/311,487.75
  6. Step 6: Final answer
    x = 674,832.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.