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Finding the Third Proportional to 244,701 and 381,145.50

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Solution

The third proportional to 244,701 and 381,145.50 is: 593,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,701 : 381,145.50 = 381,145.50 : x
  2. Step 2: Convert to fraction form
    244,701/381,145.50 = 381,145.50/x
  3. Step 3: Cross multiply
    244,701x = 381,145.50 × 381,145.50
  4. Step 4: Simplify right side
    244,701x = 145,271,892,170.25
  5. Step 5: Solve for x
    x = 145,271,892,170.25/244,701
  6. Step 6: Final answer
    x = 593,671.02

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.