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Finding the Third Proportional to 460.41 and 681.47

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Solution

The third proportional to 460.41 and 681.47 is: 1,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.41 : 681.47 = 681.47 : x
  2. Step 2: Convert to fraction form
    460.41/681.47 = 681.47/x
  3. Step 3: Cross multiply
    460.41x = 681.47 × 681.47
  4. Step 4: Simplify right side
    460.41x = 464,399.66
  5. Step 5: Solve for x
    x = 464,399.66/460.41
  6. Step 6: Final answer
    x = 1,008.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.