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Finding the Third Proportional to 535,695.50 and 727,538

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Solution

The third proportional to 535,695.50 and 727,538 is: 988,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,695.50 : 727,538 = 727,538 : x
  2. Step 2: Convert to fraction form
    535,695.50/727,538 = 727,538/x
  3. Step 3: Cross multiply
    535,695.50x = 727,538 × 727,538
  4. Step 4: Simplify right side
    535,695.50x = 529,311,541,444
  5. Step 5: Solve for x
    x = 529,311,541,444/535,695.50
  6. Step 6: Final answer
    x = 988,082.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.