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Finding the Third Proportional to 241,431 and 382,209.75

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Solution

The third proportional to 241,431 and 382,209.75 is: 605,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,431 : 382,209.75 = 382,209.75 : x
  2. Step 2: Convert to fraction form
    241,431/382,209.75 = 382,209.75/x
  3. Step 3: Cross multiply
    241,431x = 382,209.75 × 382,209.75
  4. Step 4: Simplify right side
    241,431x = 146,084,292,995.06
  5. Step 5: Solve for x
    x = 146,084,292,995.06/241,431
  6. Step 6: Final answer
    x = 605,076.78

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.