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Finding the Third Proportional to 407,192 and 598,626

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Solution

The third proportional to 407,192 and 598,626 is: 880,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,192 : 598,626 = 598,626 : x
  2. Step 2: Convert to fraction form
    407,192/598,626 = 598,626/x
  3. Step 3: Cross multiply
    407,192x = 598,626 × 598,626
  4. Step 4: Simplify right side
    407,192x = 358,353,087,876
  5. Step 5: Solve for x
    x = 358,353,087,876/407,192
  6. Step 6: Final answer
    x = 880,059.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.