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Finding the Third Proportional to 237,690 and 522,034.50

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Solution

The third proportional to 237,690 and 522,034.50 is: 1,146,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,690 : 522,034.50 = 522,034.50 : x
  2. Step 2: Convert to fraction form
    237,690/522,034.50 = 522,034.50/x
  3. Step 3: Cross multiply
    237,690x = 522,034.50 × 522,034.50
  4. Step 4: Simplify right side
    237,690x = 272,520,019,190.25
  5. Step 5: Solve for x
    x = 272,520,019,190.25/237,690
  6. Step 6: Final answer
    x = 1,146,535.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.