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Finding the Third Proportional to 770.81 and 1,186.13

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Solution

The third proportional to 770.81 and 1,186.13 is: 1,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.81 : 1,186.13 = 1,186.13 : x
  2. Step 2: Convert to fraction form
    770.81/1,186.13 = 1,186.13/x
  3. Step 3: Cross multiply
    770.81x = 1,186.13 × 1,186.13
  4. Step 4: Simplify right side
    770.81x = 1,406,892.52
  5. Step 5: Solve for x
    x = 1,406,892.52/770.81
  6. Step 6: Final answer
    x = 1,825.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.