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Finding the Third Proportional to 296,154 and 422,079

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Solution

The third proportional to 296,154 and 422,079 is: 601,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,154 : 422,079 = 422,079 : x
  2. Step 2: Convert to fraction form
    296,154/422,079 = 422,079/x
  3. Step 3: Cross multiply
    296,154x = 422,079 × 422,079
  4. Step 4: Simplify right side
    296,154x = 178,150,682,241
  5. Step 5: Solve for x
    x = 178,150,682,241/296,154
  6. Step 6: Final answer
    x = 601,547.45

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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.