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Finding the Third Proportional to 460.69 and 689.45

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Solution

The third proportional to 460.69 and 689.45 is: 1,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 689.45 = 689.45 : x
  2. Step 2: Convert to fraction form
    460.69/689.45 = 689.45/x
  3. Step 3: Cross multiply
    460.69x = 689.45 × 689.45
  4. Step 4: Simplify right side
    460.69x = 475,340.23
  5. Step 5: Solve for x
    x = 475,340.23/460.69
  6. Step 6: Final answer
    x = 1,031.81

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