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Finding the Third Proportional to 352,804 and 530,000

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Solution

The third proportional to 352,804 and 530,000 is: 796,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,804 : 530,000 = 530,000 : x
  2. Step 2: Convert to fraction form
    352,804/530,000 = 530,000/x
  3. Step 3: Cross multiply
    352,804x = 530,000 × 530,000
  4. Step 4: Simplify right side
    352,804x = 280,900,000,000
  5. Step 5: Solve for x
    x = 280,900,000,000/352,804
  6. Step 6: Final answer
    x = 796,192.79

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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.