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Finding the Third Proportional to 237,996 and 500,534

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Solution

The third proportional to 237,996 and 500,534 is: 1,052,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,996 : 500,534 = 500,534 : x
  2. Step 2: Convert to fraction form
    237,996/500,534 = 500,534/x
  3. Step 3: Cross multiply
    237,996x = 500,534 × 500,534
  4. Step 4: Simplify right side
    237,996x = 250,534,285,156
  5. Step 5: Solve for x
    x = 250,534,285,156/237,996
  6. Step 6: Final answer
    x = 1,052,682.76

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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.