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Finding the Third Proportional to 352,728 and 528,265

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Solution

The third proportional to 352,728 and 528,265 is: 791,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,728 : 528,265 = 528,265 : x
  2. Step 2: Convert to fraction form
    352,728/528,265 = 528,265/x
  3. Step 3: Cross multiply
    352,728x = 528,265 × 528,265
  4. Step 4: Simplify right side
    352,728x = 279,063,910,225
  5. Step 5: Solve for x
    x = 279,063,910,225/352,728
  6. Step 6: Final answer
    x = 791,158.94

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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.