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Finding the Third Proportional to 716.25 and 957.75

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Solution

The third proportional to 716.25 and 957.75 is: 1,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.25 : 957.75 = 957.75 : x
  2. Step 2: Convert to fraction form
    716.25/957.75 = 957.75/x
  3. Step 3: Cross multiply
    716.25x = 957.75 × 957.75
  4. Step 4: Simplify right side
    716.25x = 917,285.06
  5. Step 5: Solve for x
    x = 917,285.06/716.25
  6. Step 6: Final answer
    x = 1,280.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.