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Finding the Third Proportional to 492,059 and 735,525

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Solution

The third proportional to 492,059 and 735,525 is: 1,099,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,059 : 735,525 = 735,525 : x
  2. Step 2: Convert to fraction form
    492,059/735,525 = 735,525/x
  3. Step 3: Cross multiply
    492,059x = 735,525 × 735,525
  4. Step 4: Simplify right side
    492,059x = 540,997,025,625
  5. Step 5: Solve for x
    x = 540,997,025,625/492,059
  6. Step 6: Final answer
    x = 1,099,455.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.