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Finding the Third Proportional to 536,388 and 810,049.50

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Solution

The third proportional to 536,388 and 810,049.50 is: 1,223,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,388 : 810,049.50 = 810,049.50 : x
  2. Step 2: Convert to fraction form
    536,388/810,049.50 = 810,049.50/x
  3. Step 3: Cross multiply
    536,388x = 810,049.50 × 810,049.50
  4. Step 4: Simplify right side
    536,388x = 656,180,192,450.25
  5. Step 5: Solve for x
    x = 656,180,192,450.25/536,388
  6. Step 6: Final answer
    x = 1,223,331.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.