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Finding the Third Proportional to 454,106.25 and 617,007.38

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Solution

The third proportional to 454,106.25 and 617,007.38 is: 838,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,106.25 : 617,007.38 = 617,007.38 : x
  2. Step 2: Convert to fraction form
    454,106.25/617,007.38 = 617,007.38/x
  3. Step 3: Cross multiply
    454,106.25x = 617,007.38 × 617,007.38
  4. Step 4: Simplify right side
    454,106.25x = 380,698,100,804.39
  5. Step 5: Solve for x
    x = 380,698,100,804.39/454,106.25
  6. Step 6: Final answer
    x = 838,345.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.