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Finding the Third Proportional to 522.84 and 765.98

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Solution

The third proportional to 522.84 and 765.98 is: 1,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 765.98 = 765.98 : x
  2. Step 2: Convert to fraction form
    522.84/765.98 = 765.98/x
  3. Step 3: Cross multiply
    522.84x = 765.98 × 765.98
  4. Step 4: Simplify right side
    522.84x = 586,732.06
  5. Step 5: Solve for x
    x = 586,732.06/522.84
  6. Step 6: Final answer
    x = 1,122.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.