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Finding the Third Proportional to 284.34 and 633.23

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Solution

The third proportional to 284.34 and 633.23 is: 1,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.34 : 633.23 = 633.23 : x
  2. Step 2: Convert to fraction form
    284.34/633.23 = 633.23/x
  3. Step 3: Cross multiply
    284.34x = 633.23 × 633.23
  4. Step 4: Simplify right side
    284.34x = 400,985.77
  5. Step 5: Solve for x
    x = 400,985.77/284.34
  6. Step 6: Final answer
    x = 1,410.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.