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Finding the Third Proportional to 284.55 and 434.53

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Solution

The third proportional to 284.55 and 434.53 is: 663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.55 : 434.53 = 434.53 : x
  2. Step 2: Convert to fraction form
    284.55/434.53 = 434.53/x
  3. Step 3: Cross multiply
    284.55x = 434.53 × 434.53
  4. Step 4: Simplify right side
    284.55x = 188,817.41
  5. Step 5: Solve for x
    x = 188,817.41/284.55
  6. Step 6: Final answer
    x = 663.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.