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Finding the Third Proportional to 790.70 and 1,186.00

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Solution

The third proportional to 790.70 and 1,186.00 is: 1,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.70 : 1,186.00 = 1,186.00 : x
  2. Step 2: Convert to fraction form
    790.70/1,186.00 = 1,186.00/x
  3. Step 3: Cross multiply
    790.70x = 1,186.00 × 1,186.00
  4. Step 4: Simplify right side
    790.70x = 1,406,586.73
  5. Step 5: Solve for x
    x = 1,406,586.73/790.70
  6. Step 6: Final answer
    x = 1,778.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.