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Finding the Third Proportional to 617,977.69 and 954,964.69

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Solution

The third proportional to 617,977.69 and 954,964.69 is: 1,475,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,977.69 : 954,964.69 = 954,964.69 : x
  2. Step 2: Convert to fraction form
    617,977.69/954,964.69 = 954,964.69/x
  3. Step 3: Cross multiply
    617,977.69x = 954,964.69 × 954,964.69
  4. Step 4: Simplify right side
    617,977.69x = 911,957,554,371.97
  5. Step 5: Solve for x
    x = 911,957,554,371.97/617,977.69
  6. Step 6: Final answer
    x = 1,475,712.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.