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Finding the Third Proportional to 284.63 and 624.66

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Solution

The third proportional to 284.63 and 624.66 is: 1,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.63 : 624.66 = 624.66 : x
  2. Step 2: Convert to fraction form
    284.63/624.66 = 624.66/x
  3. Step 3: Cross multiply
    284.63x = 624.66 × 624.66
  4. Step 4: Simplify right side
    284.63x = 390,195.43
  5. Step 5: Solve for x
    x = 390,195.43/284.63
  6. Step 6: Final answer
    x = 1,370.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.