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Finding the Third Proportional to 291,164 and 636,640

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Solution

The third proportional to 291,164 and 636,640 is: 1,392,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,164 : 636,640 = 636,640 : x
  2. Step 2: Convert to fraction form
    291,164/636,640 = 636,640/x
  3. Step 3: Cross multiply
    291,164x = 636,640 × 636,640
  4. Step 4: Simplify right side
    291,164x = 405,310,489,600
  5. Step 5: Solve for x
    x = 405,310,489,600/291,164
  6. Step 6: Final answer
    x = 1,392,035.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.