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Finding the Third Proportional to 353,120 and 530,468

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Solution

The third proportional to 353,120 and 530,468 is: 796,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,120 : 530,468 = 530,468 : x
  2. Step 2: Convert to fraction form
    353,120/530,468 = 530,468/x
  3. Step 3: Cross multiply
    353,120x = 530,468 × 530,468
  4. Step 4: Simplify right side
    353,120x = 281,396,299,024
  5. Step 5: Solve for x
    x = 281,396,299,024/353,120
  6. Step 6: Final answer
    x = 796,885.76

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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.