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Finding the Third Proportional to 352,442 and 528,771

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Solution

The third proportional to 352,442 and 528,771 is: 793,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,442 : 528,771 = 528,771 : x
  2. Step 2: Convert to fraction form
    352,442/528,771 = 528,771/x
  3. Step 3: Cross multiply
    352,442x = 528,771 × 528,771
  4. Step 4: Simplify right side
    352,442x = 279,598,770,441
  5. Step 5: Solve for x
    x = 279,598,770,441/352,442
  6. Step 6: Final answer
    x = 793,318.53

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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.