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Finding the Third Proportional to 297,489 and 453,207

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Solution

The third proportional to 297,489 and 453,207 is: 690,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,489 : 453,207 = 453,207 : x
  2. Step 2: Convert to fraction form
    297,489/453,207 = 453,207/x
  3. Step 3: Cross multiply
    297,489x = 453,207 × 453,207
  4. Step 4: Simplify right side
    297,489x = 205,396,584,849
  5. Step 5: Solve for x
    x = 205,396,584,849/297,489
  6. Step 6: Final answer
    x = 690,434.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.