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Finding the Third Proportional to 238,542 and 505,524

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Solution

The third proportional to 238,542 and 505,524 is: 1,071,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,542 : 505,524 = 505,524 : x
  2. Step 2: Convert to fraction form
    238,542/505,524 = 505,524/x
  3. Step 3: Cross multiply
    238,542x = 505,524 × 505,524
  4. Step 4: Simplify right side
    238,542x = 255,554,514,576
  5. Step 5: Solve for x
    x = 255,554,514,576/238,542
  6. Step 6: Final answer
    x = 1,071,318.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.