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Finding the Third Proportional to 291,230 and 639,562

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Solution

The third proportional to 291,230 and 639,562 is: 1,404,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,230 : 639,562 = 639,562 : x
  2. Step 2: Convert to fraction form
    291,230/639,562 = 639,562/x
  3. Step 3: Cross multiply
    291,230x = 639,562 × 639,562
  4. Step 4: Simplify right side
    291,230x = 409,039,551,844
  5. Step 5: Solve for x
    x = 409,039,551,844/291,230
  6. Step 6: Final answer
    x = 1,404,524.09

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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.