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Finding the Third Proportional to 825.63 and 1,213.88

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Solution

The third proportional to 825.63 and 1,213.88 is: 1,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.63 : 1,213.88 = 1,213.88 : x
  2. Step 2: Convert to fraction form
    825.63/1,213.88 = 1,213.88/x
  3. Step 3: Cross multiply
    825.63x = 1,213.88 × 1,213.88
  4. Step 4: Simplify right side
    825.63x = 1,473,492.52
  5. Step 5: Solve for x
    x = 1,473,492.52/825.63
  6. Step 6: Final answer
    x = 1,784.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.