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Finding the Third Proportional to 529.88 and 827.13

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Solution

The third proportional to 529.88 and 827.13 is: 1,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.88 : 827.13 = 827.13 : x
  2. Step 2: Convert to fraction form
    529.88/827.13 = 827.13/x
  3. Step 3: Cross multiply
    529.88x = 827.13 × 827.13
  4. Step 4: Simplify right side
    529.88x = 684,135.77
  5. Step 5: Solve for x
    x = 684,135.77/529.88
  6. Step 6: Final answer
    x = 1,291.13

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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.