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Finding the Third Proportional to 541,968 and 805,092

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Solution

The third proportional to 541,968 and 805,092 is: 1,195,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,968 : 805,092 = 805,092 : x
  2. Step 2: Convert to fraction form
    541,968/805,092 = 805,092/x
  3. Step 3: Cross multiply
    541,968x = 805,092 × 805,092
  4. Step 4: Simplify right side
    541,968x = 648,173,128,464
  5. Step 5: Solve for x
    x = 648,173,128,464/541,968
  6. Step 6: Final answer
    x = 1,195,961.99

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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.