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Finding the Third Proportional to 681.47 and 1,014.47

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Solution

The third proportional to 681.47 and 1,014.47 is: 1,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.47 : 1,014.47 = 1,014.47 : x
  2. Step 2: Convert to fraction form
    681.47/1,014.47 = 1,014.47/x
  3. Step 3: Cross multiply
    681.47x = 1,014.47 × 1,014.47
  4. Step 4: Simplify right side
    681.47x = 1,029,146.84
  5. Step 5: Solve for x
    x = 1,029,146.84/681.47
  6. Step 6: Final answer
    x = 1,510.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.