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Finding the Third Proportional to 505.13 and 771.19

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Solution

The third proportional to 505.13 and 771.19 is: 1,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.13 : 771.19 = 771.19 : x
  2. Step 2: Convert to fraction form
    505.13/771.19 = 771.19/x
  3. Step 3: Cross multiply
    505.13x = 771.19 × 771.19
  4. Step 4: Simplify right side
    505.13x = 594,730.16
  5. Step 5: Solve for x
    x = 594,730.16/505.13
  6. Step 6: Final answer
    x = 1,177.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.