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Finding the Third Proportional to 522.91 and 1,148.45

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Solution

The third proportional to 522.91 and 1,148.45 is: 2,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.91 : 1,148.45 = 1,148.45 : x
  2. Step 2: Convert to fraction form
    522.91/1,148.45 = 1,148.45/x
  3. Step 3: Cross multiply
    522.91x = 1,148.45 × 1,148.45
  4. Step 4: Simplify right side
    522.91x = 1,318,935.61
  5. Step 5: Solve for x
    x = 1,318,935.61/522.91
  6. Step 6: Final answer
    x = 2,522.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.