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Finding the Third Proportional to 355,272 and 531,828

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Solution

The third proportional to 355,272 and 531,828 is: 796,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,272 : 531,828 = 531,828 : x
  2. Step 2: Convert to fraction form
    355,272/531,828 = 531,828/x
  3. Step 3: Cross multiply
    355,272x = 531,828 × 531,828
  4. Step 4: Simplify right side
    355,272x = 282,841,021,584
  5. Step 5: Solve for x
    x = 282,841,021,584/355,272
  6. Step 6: Final answer
    x = 796,125.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.