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Finding the Third Proportional to 296,149 and 422,071

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Solution

The third proportional to 296,149 and 422,071 is: 601,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,149 : 422,071 = 422,071 : x
  2. Step 2: Convert to fraction form
    296,149/422,071 = 422,071/x
  3. Step 3: Cross multiply
    296,149x = 422,071 × 422,071
  4. Step 4: Simplify right side
    296,149x = 178,143,929,041
  5. Step 5: Solve for x
    x = 178,143,929,041/296,149
  6. Step 6: Final answer
    x = 601,534.80

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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.