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Finding the Third Proportional to 687.94 and 1,492.31

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Solution

The third proportional to 687.94 and 1,492.31 is: 3,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.94 : 1,492.31 = 1,492.31 : x
  2. Step 2: Convert to fraction form
    687.94/1,492.31 = 1,492.31/x
  3. Step 3: Cross multiply
    687.94x = 1,492.31 × 1,492.31
  4. Step 4: Simplify right side
    687.94x = 2,226,996.60
  5. Step 5: Solve for x
    x = 2,226,996.60/687.94
  6. Step 6: Final answer
    x = 3,237.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.