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Finding the Third Proportional to 364,100 and 569,930

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Solution

The third proportional to 364,100 and 569,930 is: 892,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,100 : 569,930 = 569,930 : x
  2. Step 2: Convert to fraction form
    364,100/569,930 = 569,930/x
  3. Step 3: Cross multiply
    364,100x = 569,930 × 569,930
  4. Step 4: Simplify right side
    364,100x = 324,820,204,900
  5. Step 5: Solve for x
    x = 324,820,204,900/364,100
  6. Step 6: Final answer
    x = 892,118.11

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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.