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Finding the Third Proportional to 262,444 and 542,384

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Solution

The third proportional to 262,444 and 542,384 is: 1,120,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,444 : 542,384 = 542,384 : x
  2. Step 2: Convert to fraction form
    262,444/542,384 = 542,384/x
  3. Step 3: Cross multiply
    262,444x = 542,384 × 542,384
  4. Step 4: Simplify right side
    262,444x = 294,180,403,456
  5. Step 5: Solve for x
    x = 294,180,403,456/262,444
  6. Step 6: Final answer
    x = 1,120,926.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.