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Finding the Third Proportional to 427,736 and 598,006

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Solution

The third proportional to 427,736 and 598,006 is: 836,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,736 : 598,006 = 598,006 : x
  2. Step 2: Convert to fraction form
    427,736/598,006 = 598,006/x
  3. Step 3: Cross multiply
    427,736x = 598,006 × 598,006
  4. Step 4: Simplify right side
    427,736x = 357,611,176,036
  5. Step 5: Solve for x
    x = 357,611,176,036/427,736
  6. Step 6: Final answer
    x = 836,055.83

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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.