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Finding the Third Proportional to 407,112 and 598,825

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Solution

The third proportional to 407,112 and 598,825 is: 880,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,112 : 598,825 = 598,825 : x
  2. Step 2: Convert to fraction form
    407,112/598,825 = 598,825/x
  3. Step 3: Cross multiply
    407,112x = 598,825 × 598,825
  4. Step 4: Simplify right side
    407,112x = 358,591,380,625
  5. Step 5: Solve for x
    x = 358,591,380,625/407,112
  6. Step 6: Final answer
    x = 880,817.52

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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.