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Finding the Third Proportional to 541,979 and 805,107

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Solution

The third proportional to 541,979 and 805,107 is: 1,195,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,979 : 805,107 = 805,107 : x
  2. Step 2: Convert to fraction form
    541,979/805,107 = 805,107/x
  3. Step 3: Cross multiply
    541,979x = 805,107 × 805,107
  4. Step 4: Simplify right side
    541,979x = 648,197,281,449
  5. Step 5: Solve for x
    x = 648,197,281,449/541,979
  6. Step 6: Final answer
    x = 1,195,982.28

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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.