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Finding the Third Proportional to 353,110 and 530,454

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Solution

The third proportional to 353,110 and 530,454 is: 796,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,110 : 530,454 = 530,454 : x
  2. Step 2: Convert to fraction form
    353,110/530,454 = 530,454/x
  3. Step 3: Cross multiply
    353,110x = 530,454 × 530,454
  4. Step 4: Simplify right side
    353,110x = 281,381,446,116
  5. Step 5: Solve for x
    x = 281,381,446,116/353,110
  6. Step 6: Final answer
    x = 796,866.26

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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.