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Finding the Third Proportional to 794.50 and 1,178.93

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Solution

The third proportional to 794.50 and 1,178.93 is: 1,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.50 : 1,178.93 = 1,178.93 : x
  2. Step 2: Convert to fraction form
    794.50/1,178.93 = 1,178.93/x
  3. Step 3: Cross multiply
    794.50x = 1,178.93 × 1,178.93
  4. Step 4: Simplify right side
    794.50x = 1,389,875.21
  5. Step 5: Solve for x
    x = 1,389,875.21/794.50
  6. Step 6: Final answer
    x = 1,749.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.