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Finding the Third Proportional to 535,251.75 and 729,045.75

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Solution

The third proportional to 535,251.75 and 729,045.75 is: 993,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,251.75 : 729,045.75 = 729,045.75 : x
  2. Step 2: Convert to fraction form
    535,251.75/729,045.75 = 729,045.75/x
  3. Step 3: Cross multiply
    535,251.75x = 729,045.75 × 729,045.75
  4. Step 4: Simplify right side
    535,251.75x = 531,507,705,593.06
  5. Step 5: Solve for x
    x = 531,507,705,593.06/535,251.75
  6. Step 6: Final answer
    x = 993,005.08

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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.