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Finding the Third Proportional to 291,546 and 640,494

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Solution

The third proportional to 291,546 and 640,494 is: 1,407,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,546 : 640,494 = 640,494 : x
  2. Step 2: Convert to fraction form
    291,546/640,494 = 640,494/x
  3. Step 3: Cross multiply
    291,546x = 640,494 × 640,494
  4. Step 4: Simplify right side
    291,546x = 410,232,564,036
  5. Step 5: Solve for x
    x = 410,232,564,036/291,546
  6. Step 6: Final answer
    x = 1,407,093.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.