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Finding the Third Proportional to 393,764 and 610,855.50

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Solution

The third proportional to 393,764 and 610,855.50 is: 947,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,764 : 610,855.50 = 610,855.50 : x
  2. Step 2: Convert to fraction form
    393,764/610,855.50 = 610,855.50/x
  3. Step 3: Cross multiply
    393,764x = 610,855.50 × 610,855.50
  4. Step 4: Simplify right side
    393,764x = 373,144,441,880.25
  5. Step 5: Solve for x
    x = 373,144,441,880.25/393,764
  6. Step 6: Final answer
    x = 947,634.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.