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Finding the Third Proportional to 237,990 and 500,523

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Solution

The third proportional to 237,990 and 500,523 is: 1,052,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,990 : 500,523 = 500,523 : x
  2. Step 2: Convert to fraction form
    237,990/500,523 = 500,523/x
  3. Step 3: Cross multiply
    237,990x = 500,523 × 500,523
  4. Step 4: Simplify right side
    237,990x = 250,523,273,529
  5. Step 5: Solve for x
    x = 250,523,273,529/237,990
  6. Step 6: Final answer
    x = 1,052,663.03

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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.