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Finding the Third Proportional to 281,895.19 and 591,469.59

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Solution

The third proportional to 281,895.19 and 591,469.59 is: 1,241,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,895.19 : 591,469.59 = 591,469.59 : x
  2. Step 2: Convert to fraction form
    281,895.19/591,469.59 = 591,469.59/x
  3. Step 3: Cross multiply
    281,895.19x = 591,469.59 × 591,469.59
  4. Step 4: Simplify right side
    281,895.19x = 349,836,280,330.79
  5. Step 5: Solve for x
    x = 349,836,280,330.79/281,895.19
  6. Step 6: Final answer
    x = 1,241,015.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.