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Finding the Third Proportional to 535,713.75 and 727,557.19

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Solution

The third proportional to 535,713.75 and 727,557.19 is: 988,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,713.75 : 727,557.19 = 727,557.19 : x
  2. Step 2: Convert to fraction form
    535,713.75/727,557.19 = 727,557.19/x
  3. Step 3: Cross multiply
    535,713.75x = 727,557.19 × 727,557.19
  4. Step 4: Simplify right side
    535,713.75x = 529,339,461,082.91
  5. Step 5: Solve for x
    x = 529,339,461,082.91/535,713.75
  6. Step 6: Final answer
    x = 988,101.32

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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.