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Finding the Third Proportional to 214,414 and 457,326

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Solution

The third proportional to 214,414 and 457,326 is: 975,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,414 : 457,326 = 457,326 : x
  2. Step 2: Convert to fraction form
    214,414/457,326 = 457,326/x
  3. Step 3: Cross multiply
    214,414x = 457,326 × 457,326
  4. Step 4: Simplify right side
    214,414x = 209,147,070,276
  5. Step 5: Solve for x
    x = 209,147,070,276/214,414
  6. Step 6: Final answer
    x = 975,435.70

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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.