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Finding the Third Proportional to 296,122 and 422,034

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Solution

The third proportional to 296,122 and 422,034 is: 601,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,122 : 422,034 = 422,034 : x
  2. Step 2: Convert to fraction form
    296,122/422,034 = 422,034/x
  3. Step 3: Cross multiply
    296,122x = 422,034 × 422,034
  4. Step 4: Simplify right side
    296,122x = 178,112,697,156
  5. Step 5: Solve for x
    x = 178,112,697,156/296,122
  6. Step 6: Final answer
    x = 601,484.18

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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.