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Finding the Third Proportional to 189,466 and 414,593

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Solution

The third proportional to 189,466 and 414,593 is: 907,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,466 : 414,593 = 414,593 : x
  2. Step 2: Convert to fraction form
    189,466/414,593 = 414,593/x
  3. Step 3: Cross multiply
    189,466x = 414,593 × 414,593
  4. Step 4: Simplify right side
    189,466x = 171,887,355,649
  5. Step 5: Solve for x
    x = 171,887,355,649/189,466
  6. Step 6: Final answer
    x = 907,220.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.