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Finding the Third Proportional to 345,251 and 525,086

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Solution

The third proportional to 345,251 and 525,086 is: 798,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,251 : 525,086 = 525,086 : x
  2. Step 2: Convert to fraction form
    345,251/525,086 = 525,086/x
  3. Step 3: Cross multiply
    345,251x = 525,086 × 525,086
  4. Step 4: Simplify right side
    345,251x = 275,715,307,396
  5. Step 5: Solve for x
    x = 275,715,307,396/345,251
  6. Step 6: Final answer
    x = 798,593.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.