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Finding the Third Proportional to 888.94 and 1,310.53

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Solution

The third proportional to 888.94 and 1,310.53 is: 1,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.94 : 1,310.53 = 1,310.53 : x
  2. Step 2: Convert to fraction form
    888.94/1,310.53 = 1,310.53/x
  3. Step 3: Cross multiply
    888.94x = 1,310.53 × 1,310.53
  4. Step 4: Simplify right side
    888.94x = 1,717,492.16
  5. Step 5: Solve for x
    x = 1,717,492.16/888.94
  6. Step 6: Final answer
    x = 1,932.07

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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.