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Finding the Third Proportional to 529.03 and 800.51

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Solution

The third proportional to 529.03 and 800.51 is: 1,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.03 : 800.51 = 800.51 : x
  2. Step 2: Convert to fraction form
    529.03/800.51 = 800.51/x
  3. Step 3: Cross multiply
    529.03x = 800.51 × 800.51
  4. Step 4: Simplify right side
    529.03x = 640,812.76
  5. Step 5: Solve for x
    x = 640,812.76/529.03
  6. Step 6: Final answer
    x = 1,211.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.