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Finding the Third Proportional to 770.13 and 1,206.77

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Solution

The third proportional to 770.13 and 1,206.77 is: 1,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.13 : 1,206.77 = 1,206.77 : x
  2. Step 2: Convert to fraction form
    770.13/1,206.77 = 1,206.77/x
  3. Step 3: Cross multiply
    770.13x = 1,206.77 × 1,206.77
  4. Step 4: Simplify right side
    770.13x = 1,456,302.13
  5. Step 5: Solve for x
    x = 1,456,302.13/770.13
  6. Step 6: Final answer
    x = 1,890.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.