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Finding the Third Proportional to 687.23 and 1,065.02

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Solution

The third proportional to 687.23 and 1,065.02 is: 1,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.23 : 1,065.02 = 1,065.02 : x
  2. Step 2: Convert to fraction form
    687.23/1,065.02 = 1,065.02/x
  3. Step 3: Cross multiply
    687.23x = 1,065.02 × 1,065.02
  4. Step 4: Simplify right side
    687.23x = 1,134,274.92
  5. Step 5: Solve for x
    x = 1,134,274.92/687.23
  6. Step 6: Final answer
    x = 1,650.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.