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Finding the Third Proportional to 733,965.75 and 1,033,590.38

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Solution

The third proportional to 733,965.75 and 1,033,590.38 is: 1,455,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,965.75 : 1,033,590.38 = 1,033,590.38 : x
  2. Step 2: Convert to fraction form
    733,965.75/1,033,590.38 = 1,033,590.38/x
  3. Step 3: Cross multiply
    733,965.75x = 1,033,590.38 × 1,033,590.38
  4. Step 4: Simplify right side
    733,965.75x = 1,068,309,063,292.64
  5. Step 5: Solve for x
    x = 1,068,309,063,292.64/733,965.75
  6. Step 6: Final answer
    x = 1,455,529.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.