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Finding the Third Proportional to 296,109 and 422,017

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Solution

The third proportional to 296,109 and 422,017 is: 601,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,109 : 422,017 = 422,017 : x
  2. Step 2: Convert to fraction form
    296,109/422,017 = 422,017/x
  3. Step 3: Cross multiply
    296,109x = 422,017 × 422,017
  4. Step 4: Simplify right side
    296,109x = 178,098,348,289
  5. Step 5: Solve for x
    x = 178,098,348,289/296,109
  6. Step 6: Final answer
    x = 601,462.12

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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.