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Finding the Third Proportional to 413,241.75 and 876,096

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Solution

The third proportional to 413,241.75 and 876,096 is: 1,857,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,241.75 : 876,096 = 876,096 : x
  2. Step 2: Convert to fraction form
    413,241.75/876,096 = 876,096/x
  3. Step 3: Cross multiply
    413,241.75x = 876,096 × 876,096
  4. Step 4: Simplify right side
    413,241.75x = 767,544,201,216
  5. Step 5: Solve for x
    x = 767,544,201,216/413,241.75
  6. Step 6: Final answer
    x = 1,857,373.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.