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Finding the Third Proportional to 291,144 and 636,597

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Solution

The third proportional to 291,144 and 636,597 is: 1,391,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,144 : 636,597 = 636,597 : x
  2. Step 2: Convert to fraction form
    291,144/636,597 = 636,597/x
  3. Step 3: Cross multiply
    291,144x = 636,597 × 636,597
  4. Step 4: Simplify right side
    291,144x = 405,255,740,409
  5. Step 5: Solve for x
    x = 405,255,740,409/291,144
  6. Step 6: Final answer
    x = 1,391,942.61

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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.