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Finding the Third Proportional to 284.06 and 452.11

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Solution

The third proportional to 284.06 and 452.11 is: 719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.06 : 452.11 = 452.11 : x
  2. Step 2: Convert to fraction form
    284.06/452.11 = 452.11/x
  3. Step 3: Cross multiply
    284.06x = 452.11 × 452.11
  4. Step 4: Simplify right side
    284.06x = 204,402.89
  5. Step 5: Solve for x
    x = 204,402.89/284.06
  6. Step 6: Final answer
    x = 719.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.