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Finding the Third Proportional to 237,996 and 522,000

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Solution

The third proportional to 237,996 and 522,000 is: 1,144,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,996 : 522,000 = 522,000 : x
  2. Step 2: Convert to fraction form
    237,996/522,000 = 522,000/x
  3. Step 3: Cross multiply
    237,996x = 522,000 × 522,000
  4. Step 4: Simplify right side
    237,996x = 272,484,000,000
  5. Step 5: Solve for x
    x = 272,484,000,000/237,996
  6. Step 6: Final answer
    x = 1,144,910.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.