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Finding the Third Proportional to 296,102 and 422,009

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Solution

The third proportional to 296,102 and 422,009 is: 601,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,102 : 422,009 = 422,009 : x
  2. Step 2: Convert to fraction form
    296,102/422,009 = 422,009/x
  3. Step 3: Cross multiply
    296,102x = 422,009 × 422,009
  4. Step 4: Simplify right side
    296,102x = 178,091,596,081
  5. Step 5: Solve for x
    x = 178,091,596,081/296,102
  6. Step 6: Final answer
    x = 601,453.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.