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Finding the Third Proportional to 240,372.09 and 512,917.71

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Solution

The third proportional to 240,372.09 and 512,917.71 is: 1,094,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,372.09 : 512,917.71 = 512,917.71 : x
  2. Step 2: Convert to fraction form
    240,372.09/512,917.71 = 512,917.71/x
  3. Step 3: Cross multiply
    240,372.09x = 512,917.71 × 512,917.71
  4. Step 4: Simplify right side
    240,372.09x = 263,084,575,188.00
  5. Step 5: Solve for x
    x = 263,084,575,188.00/240,372.09
  6. Step 6: Final answer
    x = 1,094,488.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.