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Finding the Third Proportional to 532.03 and 830.44

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Solution

The third proportional to 532.03 and 830.44 is: 1,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.03 : 830.44 = 830.44 : x
  2. Step 2: Convert to fraction form
    532.03/830.44 = 830.44/x
  3. Step 3: Cross multiply
    532.03x = 830.44 × 830.44
  4. Step 4: Simplify right side
    532.03x = 689,626.44
  5. Step 5: Solve for x
    x = 689,626.44/532.03
  6. Step 6: Final answer
    x = 1,296.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.