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Finding the Third Proportional to 569,240 and 892,936

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Solution

The third proportional to 569,240 and 892,936 is: 1,400,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,240 : 892,936 = 892,936 : x
  2. Step 2: Convert to fraction form
    569,240/892,936 = 892,936/x
  3. Step 3: Cross multiply
    569,240x = 892,936 × 892,936
  4. Step 4: Simplify right side
    569,240x = 797,334,700,096
  5. Step 5: Solve for x
    x = 797,334,700,096/569,240
  6. Step 6: Final answer
    x = 1,400,700.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.