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Finding the Third Proportional to 709.75 and 953.75

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Solution

The third proportional to 709.75 and 953.75 is: 1,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.75 : 953.75 = 953.75 : x
  2. Step 2: Convert to fraction form
    709.75/953.75 = 953.75/x
  3. Step 3: Cross multiply
    709.75x = 953.75 × 953.75
  4. Step 4: Simplify right side
    709.75x = 909,639.06
  5. Step 5: Solve for x
    x = 909,639.06/709.75
  6. Step 6: Final answer
    x = 1,281.63

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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.