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Finding the Third Proportional to 522.42 and 805.92

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Solution

The third proportional to 522.42 and 805.92 is: 1,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 805.92 = 805.92 : x
  2. Step 2: Convert to fraction form
    522.42/805.92 = 805.92/x
  3. Step 3: Cross multiply
    522.42x = 805.92 × 805.92
  4. Step 4: Simplify right side
    522.42x = 649,510.07
  5. Step 5: Solve for x
    x = 649,510.07/522.42
  6. Step 6: Final answer
    x = 1,243.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.