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Finding the Third Proportional to 452,067.75 and 683,928

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Solution

The third proportional to 452,067.75 and 683,928 is: 1,034,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,067.75 : 683,928 = 683,928 : x
  2. Step 2: Convert to fraction form
    452,067.75/683,928 = 683,928/x
  3. Step 3: Cross multiply
    452,067.75x = 683,928 × 683,928
  4. Step 4: Simplify right side
    452,067.75x = 467,757,509,184
  5. Step 5: Solve for x
    x = 467,757,509,184/452,067.75
  6. Step 6: Final answer
    x = 1,034,706.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.