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Finding the Third Proportional to 541,982 and 805,137

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Solution

The third proportional to 541,982 and 805,137 is: 1,196,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,982 : 805,137 = 805,137 : x
  2. Step 2: Convert to fraction form
    541,982/805,137 = 805,137/x
  3. Step 3: Cross multiply
    541,982x = 805,137 × 805,137
  4. Step 4: Simplify right side
    541,982x = 648,245,588,769
  5. Step 5: Solve for x
    x = 648,245,588,769/541,982
  6. Step 6: Final answer
    x = 1,196,064.79

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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.