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Finding the Third Proportional to 716.25 and 1,021.88

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Solution

The third proportional to 716.25 and 1,021.88 is: 1,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.25 : 1,021.88 = 1,021.88 : x
  2. Step 2: Convert to fraction form
    716.25/1,021.88 = 1,021.88/x
  3. Step 3: Cross multiply
    716.25x = 1,021.88 × 1,021.88
  4. Step 4: Simplify right side
    716.25x = 1,044,228.52
  5. Step 5: Solve for x
    x = 1,044,228.52/716.25
  6. Step 6: Final answer
    x = 1,457.91

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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.