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Finding the Third Proportional to 535,813.50 and 727,694.25

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Solution

The third proportional to 535,813.50 and 727,694.25 is: 988,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,813.50 : 727,694.25 = 727,694.25 : x
  2. Step 2: Convert to fraction form
    535,813.50/727,694.25 = 727,694.25/x
  3. Step 3: Cross multiply
    535,813.50x = 727,694.25 × 727,694.25
  4. Step 4: Simplify right side
    535,813.50x = 529,538,921,483.06
  5. Step 5: Solve for x
    x = 529,538,921,483.06/535,813.50
  6. Step 6: Final answer
    x = 988,289.62

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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.