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Finding the Third Proportional to 252,568.88 and 551,431.69

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Solution

The third proportional to 252,568.88 and 551,431.69 is: 1,203,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,568.88 : 551,431.69 = 551,431.69 : x
  2. Step 2: Convert to fraction form
    252,568.88/551,431.69 = 551,431.69/x
  3. Step 3: Cross multiply
    252,568.88x = 551,431.69 × 551,431.69
  4. Step 4: Simplify right side
    252,568.88x = 304,076,905,979.10
  5. Step 5: Solve for x
    x = 304,076,905,979.10/252,568.88
  6. Step 6: Final answer
    x = 1,203,936.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.