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Finding the Third Proportional to 770.81 and 1,070.06

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Solution

The third proportional to 770.81 and 1,070.06 is: 1,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.81 : 1,070.06 = 1,070.06 : x
  2. Step 2: Convert to fraction form
    770.81/1,070.06 = 1,070.06/x
  3. Step 3: Cross multiply
    770.81x = 1,070.06 × 1,070.06
  4. Step 4: Simplify right side
    770.81x = 1,145,033.75
  5. Step 5: Solve for x
    x = 1,145,033.75/770.81
  6. Step 6: Final answer
    x = 1,485.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.