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Finding the Third Proportional to 352,836 and 530,051.34

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Solution

The third proportional to 352,836 and 530,051.34 is: 796,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,836 : 530,051.34 = 530,051.34 : x
  2. Step 2: Convert to fraction form
    352,836/530,051.34 = 530,051.34/x
  3. Step 3: Cross multiply
    352,836x = 530,051.34 × 530,051.34
  4. Step 4: Simplify right side
    352,836x = 280,954,427,011.18
  5. Step 5: Solve for x
    x = 280,954,427,011.18/352,836
  6. Step 6: Final answer
    x = 796,274.83

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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.