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Finding the Third Proportional to 432.84 and 687.45

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Solution

The third proportional to 432.84 and 687.45 is: 1,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 687.45 = 687.45 : x
  2. Step 2: Convert to fraction form
    432.84/687.45 = 687.45/x
  3. Step 3: Cross multiply
    432.84x = 687.45 × 687.45
  4. Step 4: Simplify right side
    432.84x = 472,581.06
  5. Step 5: Solve for x
    x = 472,581.06/432.84
  6. Step 6: Final answer
    x = 1,091.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.