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Finding the Third Proportional to 214,380 and 457,224

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Solution

The third proportional to 214,380 and 457,224 is: 975,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,380 : 457,224 = 457,224 : x
  2. Step 2: Convert to fraction form
    214,380/457,224 = 457,224/x
  3. Step 3: Cross multiply
    214,380x = 457,224 × 457,224
  4. Step 4: Simplify right side
    214,380x = 209,053,786,176
  5. Step 5: Solve for x
    x = 209,053,786,176/214,380
  6. Step 6: Final answer
    x = 975,155.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.