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Finding the Third Proportional to 349,287 and 525,660

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Solution

The third proportional to 349,287 and 525,660 is: 791,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,287 : 525,660 = 525,660 : x
  2. Step 2: Convert to fraction form
    349,287/525,660 = 525,660/x
  3. Step 3: Cross multiply
    349,287x = 525,660 × 525,660
  4. Step 4: Simplify right side
    349,287x = 276,318,435,600
  5. Step 5: Solve for x
    x = 276,318,435,600/349,287
  6. Step 6: Final answer
    x = 791,092.81

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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.