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Finding the Third Proportional to 717 and 1,022.25

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Solution

The third proportional to 717 and 1,022.25 is: 1,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    717 : 1,022.25 = 1,022.25 : x
  2. Step 2: Convert to fraction form
    717/1,022.25 = 1,022.25/x
  3. Step 3: Cross multiply
    717x = 1,022.25 × 1,022.25
  4. Step 4: Simplify right side
    717x = 1,044,995.06
  5. Step 5: Solve for x
    x = 1,044,995.06/717
  6. Step 6: Final answer
    x = 1,457.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.