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Finding the Third Proportional to 355,185 and 541,641

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Solution

The third proportional to 355,185 and 541,641 is: 825,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,185 : 541,641 = 541,641 : x
  2. Step 2: Convert to fraction form
    355,185/541,641 = 541,641/x
  3. Step 3: Cross multiply
    355,185x = 541,641 × 541,641
  4. Step 4: Simplify right side
    355,185x = 293,374,972,881
  5. Step 5: Solve for x
    x = 293,374,972,881/355,185
  6. Step 6: Final answer
    x = 825,977.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.