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Finding the Third Proportional to 709 and 954.75

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Solution

The third proportional to 709 and 954.75 is: 1,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    709 : 954.75 = 954.75 : x
  2. Step 2: Convert to fraction form
    709/954.75 = 954.75/x
  3. Step 3: Cross multiply
    709x = 954.75 × 954.75
  4. Step 4: Simplify right side
    709x = 911,547.56
  5. Step 5: Solve for x
    x = 911,547.56/709
  6. Step 6: Final answer
    x = 1,285.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.