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Finding the Third Proportional to 505.03 and 779.77

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Solution

The third proportional to 505.03 and 779.77 is: 1,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.03 : 779.77 = 779.77 : x
  2. Step 2: Convert to fraction form
    505.03/779.77 = 779.77/x
  3. Step 3: Cross multiply
    505.03x = 779.77 × 779.77
  4. Step 4: Simplify right side
    505.03x = 608,034.43
  5. Step 5: Solve for x
    x = 608,034.43/505.03
  6. Step 6: Final answer
    x = 1,203.95

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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.