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Finding the Third Proportional to 352,840 and 530,057

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Solution

The third proportional to 352,840 and 530,057 is: 796,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,840 : 530,057 = 530,057 : x
  2. Step 2: Convert to fraction form
    352,840/530,057 = 530,057/x
  3. Step 3: Cross multiply
    352,840x = 530,057 × 530,057
  4. Step 4: Simplify right side
    352,840x = 280,960,423,249
  5. Step 5: Solve for x
    x = 280,960,423,249/352,840
  6. Step 6: Final answer
    x = 796,282.80

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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.