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Finding the Third Proportional to 239,058 and 521,581.50

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Solution

The third proportional to 239,058 and 521,581.50 is: 1,137,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,058 : 521,581.50 = 521,581.50 : x
  2. Step 2: Convert to fraction form
    239,058/521,581.50 = 521,581.50/x
  3. Step 3: Cross multiply
    239,058x = 521,581.50 × 521,581.50
  4. Step 4: Simplify right side
    239,058x = 272,047,261,142.25
  5. Step 5: Solve for x
    x = 272,047,261,142.25/239,058
  6. Step 6: Final answer
    x = 1,137,996.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.