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Finding the Third Proportional to 520.59 and 1,143.28

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Solution

The third proportional to 520.59 and 1,143.28 is: 2,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.59 : 1,143.28 = 1,143.28 : x
  2. Step 2: Convert to fraction form
    520.59/1,143.28 = 1,143.28/x
  3. Step 3: Cross multiply
    520.59x = 1,143.28 × 1,143.28
  4. Step 4: Simplify right side
    520.59x = 1,307,092.02
  5. Step 5: Solve for x
    x = 1,307,092.02/520.59
  6. Step 6: Final answer
    x = 2,510.77

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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.