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Finding the Third Proportional to 803.04 and 1,213.10

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Solution

The third proportional to 803.04 and 1,213.10 is: 1,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.04 : 1,213.10 = 1,213.10 : x
  2. Step 2: Convert to fraction form
    803.04/1,213.10 = 1,213.10/x
  3. Step 3: Cross multiply
    803.04x = 1,213.10 × 1,213.10
  4. Step 4: Simplify right side
    803.04x = 1,471,615.40
  5. Step 5: Solve for x
    x = 1,471,615.40/803.04
  6. Step 6: Final answer
    x = 1,832.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.