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Finding the Third Proportional to 569,224 and 892,908

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Solution

The third proportional to 569,224 and 892,908 is: 1,400,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,224 : 892,908 = 892,908 : x
  2. Step 2: Convert to fraction form
    569,224/892,908 = 892,908/x
  3. Step 3: Cross multiply
    569,224x = 892,908 × 892,908
  4. Step 4: Simplify right side
    569,224x = 797,284,696,464
  5. Step 5: Solve for x
    x = 797,284,696,464/569,224
  6. Step 6: Final answer
    x = 1,400,651.93

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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.