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Finding the Third Proportional to 554.77 and 788.55

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Solution

The third proportional to 554.77 and 788.55 is: 1,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.77 : 788.55 = 788.55 : x
  2. Step 2: Convert to fraction form
    554.77/788.55 = 788.55/x
  3. Step 3: Cross multiply
    554.77x = 788.55 × 788.55
  4. Step 4: Simplify right side
    554.77x = 621,818.50
  5. Step 5: Solve for x
    x = 621,818.50/554.77
  6. Step 6: Final answer
    x = 1,120.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.