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Finding the Third Proportional to 503.16 and 1,092.52

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Solution

The third proportional to 503.16 and 1,092.52 is: 2,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 1,092.52 = 1,092.52 : x
  2. Step 2: Convert to fraction form
    503.16/1,092.52 = 1,092.52/x
  3. Step 3: Cross multiply
    503.16x = 1,092.52 × 1,092.52
  4. Step 4: Simplify right side
    503.16x = 1,193,590.39
  5. Step 5: Solve for x
    x = 1,193,590.39/503.16
  6. Step 6: Final answer
    x = 2,372.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.