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Finding the Third Proportional to 241,276.50 and 476,497.13

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Solution

The third proportional to 241,276.50 and 476,497.13 is: 941,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,276.50 : 476,497.13 = 476,497.13 : x
  2. Step 2: Convert to fraction form
    241,276.50/476,497.13 = 476,497.13/x
  3. Step 3: Cross multiply
    241,276.50x = 476,497.13 × 476,497.13
  4. Step 4: Simplify right side
    241,276.50x = 227,049,510,133.27
  5. Step 5: Solve for x
    x = 227,049,510,133.27/241,276.50
  6. Step 6: Final answer
    x = 941,034.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.