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Finding the Third Proportional to 297,018 and 640,404

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Solution

The third proportional to 297,018 and 640,404 is: 1,380,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,018 : 640,404 = 640,404 : x
  2. Step 2: Convert to fraction form
    297,018/640,404 = 640,404/x
  3. Step 3: Cross multiply
    297,018x = 640,404 × 640,404
  4. Step 4: Simplify right side
    297,018x = 410,117,283,216
  5. Step 5: Solve for x
    x = 410,117,283,216/297,018
  6. Step 6: Final answer
    x = 1,380,782.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.