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Finding the Third Proportional to 237,998 and 500,538

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Solution

The third proportional to 237,998 and 500,538 is: 1,052,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,998 : 500,538 = 500,538 : x
  2. Step 2: Convert to fraction form
    237,998/500,538 = 500,538/x
  3. Step 3: Cross multiply
    237,998x = 500,538 × 500,538
  4. Step 4: Simplify right side
    237,998x = 250,538,289,444
  5. Step 5: Solve for x
    x = 250,538,289,444/237,998
  6. Step 6: Final answer
    x = 1,052,690.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.