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Finding the Third Proportional to 238,466.53 and 523,999.13

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Solution

The third proportional to 238,466.53 and 523,999.13 is: 1,151,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,466.53 : 523,999.13 = 523,999.13 : x
  2. Step 2: Convert to fraction form
    238,466.53/523,999.13 = 523,999.13/x
  3. Step 3: Cross multiply
    238,466.53x = 523,999.13 × 523,999.13
  4. Step 4: Simplify right side
    238,466.53x = 274,575,083,000.77
  5. Step 5: Solve for x
    x = 274,575,083,000.77/238,466.53
  6. Step 6: Final answer
    x = 1,151,419.79

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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.