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Finding the Third Proportional to 522.46 and 765.13

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Solution

The third proportional to 522.46 and 765.13 is: 1,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.46 : 765.13 = 765.13 : x
  2. Step 2: Convert to fraction form
    522.46/765.13 = 765.13/x
  3. Step 3: Cross multiply
    522.46x = 765.13 × 765.13
  4. Step 4: Simplify right side
    522.46x = 585,423.36
  5. Step 5: Solve for x
    x = 585,423.36/522.46
  6. Step 6: Final answer
    x = 1,120.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.