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Finding the Third Proportional to 710.44 and 1,065.66

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Solution

The third proportional to 710.44 and 1,065.66 is: 1,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.44 : 1,065.66 = 1,065.66 : x
  2. Step 2: Convert to fraction form
    710.44/1,065.66 = 1,065.66/x
  3. Step 3: Cross multiply
    710.44x = 1,065.66 × 1,065.66
  4. Step 4: Simplify right side
    710.44x = 1,135,623.24
  5. Step 5: Solve for x
    x = 1,135,623.24/710.44
  6. Step 6: Final answer
    x = 1,598.48

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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.