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Finding the Third Proportional to 535,288.50 and 729,101.25

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Solution

The third proportional to 535,288.50 and 729,101.25 is: 993,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,288.50 : 729,101.25 = 729,101.25 : x
  2. Step 2: Convert to fraction form
    535,288.50/729,101.25 = 729,101.25/x
  3. Step 3: Cross multiply
    535,288.50x = 729,101.25 × 729,101.25
  4. Step 4: Simplify right side
    535,288.50x = 531,588,632,751.56
  5. Step 5: Solve for x
    x = 531,588,632,751.56/535,288.50
  6. Step 6: Final answer
    x = 993,088.09

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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.