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Finding the Third Proportional to 522.19 and 1,146.94

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Solution

The third proportional to 522.19 and 1,146.94 is: 2,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.19 : 1,146.94 = 1,146.94 : x
  2. Step 2: Convert to fraction form
    522.19/1,146.94 = 1,146.94/x
  3. Step 3: Cross multiply
    522.19x = 1,146.94 × 1,146.94
  4. Step 4: Simplify right side
    522.19x = 1,315,465.63
  5. Step 5: Solve for x
    x = 1,315,465.63/522.19
  6. Step 6: Final answer
    x = 2,519.14

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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.