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Finding the Third Proportional to 477.69 and 878.38

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Solution

The third proportional to 477.69 and 878.38 is: 1,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 878.38 = 878.38 : x
  2. Step 2: Convert to fraction form
    477.69/878.38 = 878.38/x
  3. Step 3: Cross multiply
    477.69x = 878.38 × 878.38
  4. Step 4: Simplify right side
    477.69x = 771,542.64
  5. Step 5: Solve for x
    x = 771,542.64/477.69
  6. Step 6: Final answer
    x = 1,615.16

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.