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Finding the Third Proportional to 522.84 and 772.17

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Solution

The third proportional to 522.84 and 772.17 is: 1,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 772.17 = 772.17 : x
  2. Step 2: Convert to fraction form
    522.84/772.17 = 772.17/x
  3. Step 3: Cross multiply
    522.84x = 772.17 × 772.17
  4. Step 4: Simplify right side
    522.84x = 596,249.40
  5. Step 5: Solve for x
    x = 596,249.40/522.84
  6. Step 6: Final answer
    x = 1,140.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.