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Finding the Third Proportional to 291,219 and 636,318

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Solution

The third proportional to 291,219 and 636,318 is: 1,390,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,219 : 636,318 = 636,318 : x
  2. Step 2: Convert to fraction form
    291,219/636,318 = 636,318/x
  3. Step 3: Cross multiply
    291,219x = 636,318 × 636,318
  4. Step 4: Simplify right side
    291,219x = 404,900,597,124
  5. Step 5: Solve for x
    x = 404,900,597,124/291,219
  6. Step 6: Final answer
    x = 1,390,364.63

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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.