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Finding the Third Proportional to 427,794 and 598,116

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Solution

The third proportional to 427,794 and 598,116 is: 836,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,794 : 598,116 = 598,116 : x
  2. Step 2: Convert to fraction form
    427,794/598,116 = 598,116/x
  3. Step 3: Cross multiply
    427,794x = 598,116 × 598,116
  4. Step 4: Simplify right side
    427,794x = 357,742,749,456
  5. Step 5: Solve for x
    x = 357,742,749,456/427,794
  6. Step 6: Final answer
    x = 836,250.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.