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Finding the Third Proportional to 708.75 and 784.13

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Solution

The third proportional to 708.75 and 784.13 is: 867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.75 : 784.13 = 784.13 : x
  2. Step 2: Convert to fraction form
    708.75/784.13 = 784.13/x
  3. Step 3: Cross multiply
    708.75x = 784.13 × 784.13
  4. Step 4: Simplify right side
    708.75x = 614,852.02
  5. Step 5: Solve for x
    x = 614,852.02/708.75
  6. Step 6: Final answer
    x = 867.52

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.