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Finding the Third Proportional to 284.72 and 450.94

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Solution

The third proportional to 284.72 and 450.94 is: 714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.72 : 450.94 = 450.94 : x
  2. Step 2: Convert to fraction form
    284.72/450.94 = 450.94/x
  3. Step 3: Cross multiply
    284.72x = 450.94 × 450.94
  4. Step 4: Simplify right side
    284.72x = 203,344.63
  5. Step 5: Solve for x
    x = 203,344.63/284.72
  6. Step 6: Final answer
    x = 714.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.