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Finding the Third Proportional to 214,435 and 457,372

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Solution

The third proportional to 214,435 and 457,372 is: 975,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,435 : 457,372 = 457,372 : x
  2. Step 2: Convert to fraction form
    214,435/457,372 = 457,372/x
  3. Step 3: Cross multiply
    214,435x = 457,372 × 457,372
  4. Step 4: Simplify right side
    214,435x = 209,189,146,384
  5. Step 5: Solve for x
    x = 209,189,146,384/214,435
  6. Step 6: Final answer
    x = 975,536.39

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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.