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Finding the Third Proportional to 432.84 and 1,012.34

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Solution

The third proportional to 432.84 and 1,012.34 is: 2,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 1,012.34 = 1,012.34 : x
  2. Step 2: Convert to fraction form
    432.84/1,012.34 = 1,012.34/x
  3. Step 3: Cross multiply
    432.84x = 1,012.34 × 1,012.34
  4. Step 4: Simplify right side
    432.84x = 1,024,835.91
  5. Step 5: Solve for x
    x = 1,024,835.91/432.84
  6. Step 6: Final answer
    x = 2,367.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.