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Finding the Third Proportional to 214,524 and 423,648

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Solution

The third proportional to 214,524 and 423,648 is: 836,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,524 : 423,648 = 423,648 : x
  2. Step 2: Convert to fraction form
    214,524/423,648 = 423,648/x
  3. Step 3: Cross multiply
    214,524x = 423,648 × 423,648
  4. Step 4: Simplify right side
    214,524x = 179,477,627,904
  5. Step 5: Solve for x
    x = 179,477,627,904/214,524
  6. Step 6: Final answer
    x = 836,631.93

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.