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Finding the Third Proportional to 522.13 and 729.94

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Solution

The third proportional to 522.13 and 729.94 is: 1,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.13 : 729.94 = 729.94 : x
  2. Step 2: Convert to fraction form
    522.13/729.94 = 729.94/x
  3. Step 3: Cross multiply
    522.13x = 729.94 × 729.94
  4. Step 4: Simplify right side
    522.13x = 532,808.75
  5. Step 5: Solve for x
    x = 532,808.75/522.13
  6. Step 6: Final answer
    x = 1,020.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.