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Finding the Third Proportional to 484.81 and 771.00

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Solution

The third proportional to 484.81 and 771.00 is: 1,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.81 : 771.00 = 771.00 : x
  2. Step 2: Convert to fraction form
    484.81/771.00 = 771.00/x
  3. Step 3: Cross multiply
    484.81x = 771.00 × 771.00
  4. Step 4: Simplify right side
    484.81x = 594,445.52
  5. Step 5: Solve for x
    x = 594,445.52/484.81
  6. Step 6: Final answer
    x = 1,226.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.