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Finding the Third Proportional to 522 and 806.63

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Solution

The third proportional to 522 and 806.63 is: 1,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 806.63 = 806.63 : x
  2. Step 2: Convert to fraction form
    522/806.63 = 806.63/x
  3. Step 3: Cross multiply
    522x = 806.63 × 806.63
  4. Step 4: Simplify right side
    522x = 650,643.89
  5. Step 5: Solve for x
    x = 650,643.89/522
  6. Step 6: Final answer
    x = 1,246.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.