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Finding the Third Proportional to 541,975 and 805,101

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Solution

The third proportional to 541,975 and 805,101 is: 1,195,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,975 : 805,101 = 805,101 : x
  2. Step 2: Convert to fraction form
    541,975/805,101 = 805,101/x
  3. Step 3: Cross multiply
    541,975x = 805,101 × 805,101
  4. Step 4: Simplify right side
    541,975x = 648,187,620,201
  5. Step 5: Solve for x
    x = 648,187,620,201/541,975
  6. Step 6: Final answer
    x = 1,195,973.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.