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Finding the Third Proportional to 352,838 and 530,054

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Solution

The third proportional to 352,838 and 530,054 is: 796,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,838 : 530,054 = 530,054 : x
  2. Step 2: Convert to fraction form
    352,838/530,054 = 530,054/x
  3. Step 3: Cross multiply
    352,838x = 530,054 × 530,054
  4. Step 4: Simplify right side
    352,838x = 280,957,242,916
  5. Step 5: Solve for x
    x = 280,957,242,916/352,838
  6. Step 6: Final answer
    x = 796,278.30

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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.