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Finding the Third Proportional to 452,015.44 and 683,857.69

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Solution

The third proportional to 452,015.44 and 683,857.69 is: 1,034,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,015.44 : 683,857.69 = 683,857.69 : x
  2. Step 2: Convert to fraction form
    452,015.44/683,857.69 = 683,857.69/x
  3. Step 3: Cross multiply
    452,015.44x = 683,857.69 × 683,857.69
  4. Step 4: Simplify right side
    452,015.44x = 467,661,336,752.85
  5. Step 5: Solve for x
    x = 467,661,336,752.85/452,015.44
  6. Step 6: Final answer
    x = 1,034,613.64

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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.