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Finding the Third Proportional to 484,296 and 728,172

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Solution

The third proportional to 484,296 and 728,172 is: 1,094,856.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,296 : 728,172 = 728,172 : x
  2. Step 2: Convert to fraction form
    484,296/728,172 = 728,172/x
  3. Step 3: Cross multiply
    484,296x = 728,172 × 728,172
  4. Step 4: Simplify right side
    484,296x = 530,234,461,584
  5. Step 5: Solve for x
    x = 530,234,461,584/484,296
  6. Step 6: Final answer
    x = 1,094,856.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.