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Finding the Third Proportional to 241,283 and 476,511

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Solution

The third proportional to 241,283 and 476,511 is: 941,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,283 : 476,511 = 476,511 : x
  2. Step 2: Convert to fraction form
    241,283/476,511 = 476,511/x
  3. Step 3: Cross multiply
    241,283x = 476,511 × 476,511
  4. Step 4: Simplify right side
    241,283x = 227,062,733,121
  5. Step 5: Solve for x
    x = 227,062,733,121/241,283
  6. Step 6: Final answer
    x = 941,063.95

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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.