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Finding the Third Proportional to 652.01 and 983.81

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Solution

The third proportional to 652.01 and 983.81 is: 1,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.01 : 983.81 = 983.81 : x
  2. Step 2: Convert to fraction form
    652.01/983.81 = 983.81/x
  3. Step 3: Cross multiply
    652.01x = 983.81 × 983.81
  4. Step 4: Simplify right side
    652.01x = 967,887.04
  5. Step 5: Solve for x
    x = 967,887.04/652.01
  6. Step 6: Final answer
    x = 1,484.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.