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Finding the Third Proportional to 241,568 and 399,252

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Solution

The third proportional to 241,568 and 399,252 is: 659,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,568 : 399,252 = 399,252 : x
  2. Step 2: Convert to fraction form
    241,568/399,252 = 399,252/x
  3. Step 3: Cross multiply
    241,568x = 399,252 × 399,252
  4. Step 4: Simplify right side
    241,568x = 159,402,159,504
  5. Step 5: Solve for x
    x = 159,402,159,504/241,568
  6. Step 6: Final answer
    x = 659,864.55

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.