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Finding the Third Proportional to 779.63 and 1,134

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Solution

The third proportional to 779.63 and 1,134 is: 1,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.63 : 1,134 = 1,134 : x
  2. Step 2: Convert to fraction form
    779.63/1,134 = 1,134/x
  3. Step 3: Cross multiply
    779.63x = 1,134 × 1,134
  4. Step 4: Simplify right side
    779.63x = 1,285,956
  5. Step 5: Solve for x
    x = 1,285,956/779.63
  6. Step 6: Final answer
    x = 1,649.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.