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Finding the Third Proportional to 241,454.25 and 476,830.13

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Solution

The third proportional to 241,454.25 and 476,830.13 is: 941,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,454.25 : 476,830.13 = 476,830.13 : x
  2. Step 2: Convert to fraction form
    241,454.25/476,830.13 = 476,830.13/x
  3. Step 3: Cross multiply
    241,454.25x = 476,830.13 × 476,830.13
  4. Step 4: Simplify right side
    241,454.25x = 227,366,968,107.52
  5. Step 5: Solve for x
    x = 227,366,968,107.52/241,454.25
  6. Step 6: Final answer
    x = 941,656.52

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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.