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Finding the Third Proportional to 684 and 783

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Solution

The third proportional to 684 and 783 is: 896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684 : 783 = 783 : x
  2. Step 2: Convert to fraction form
    684/783 = 783/x
  3. Step 3: Cross multiply
    684x = 783 × 783
  4. Step 4: Simplify right side
    684x = 613,089
  5. Step 5: Solve for x
    x = 613,089/684
  6. Step 6: Final answer
    x = 896.33

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.