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Finding the Third Proportional to 541,971 and 805,098

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Solution

The third proportional to 541,971 and 805,098 is: 1,195,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,971 : 805,098 = 805,098 : x
  2. Step 2: Convert to fraction form
    541,971/805,098 = 805,098/x
  3. Step 3: Cross multiply
    541,971x = 805,098 × 805,098
  4. Step 4: Simplify right side
    541,971x = 648,182,789,604
  5. Step 5: Solve for x
    x = 648,182,789,604/541,971
  6. Step 6: Final answer
    x = 1,195,973.20

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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.