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Finding the Third Proportional to 352,837 and 530,053

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Solution

The third proportional to 352,837 and 530,053 is: 796,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,837 : 530,053 = 530,053 : x
  2. Step 2: Convert to fraction form
    352,837/530,053 = 530,053/x
  3. Step 3: Cross multiply
    352,837x = 530,053 × 530,053
  4. Step 4: Simplify right side
    352,837x = 280,956,182,809
  5. Step 5: Solve for x
    x = 280,956,182,809/352,837
  6. Step 6: Final answer
    x = 796,277.55

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Why These Related Problems?

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