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Finding the Third Proportional to 291,226 and 639,554

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Solution

The third proportional to 291,226 and 639,554 is: 1,404,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,226 : 639,554 = 639,554 : x
  2. Step 2: Convert to fraction form
    291,226/639,554 = 639,554/x
  3. Step 3: Cross multiply
    291,226x = 639,554 × 639,554
  4. Step 4: Simplify right side
    291,226x = 409,029,318,916
  5. Step 5: Solve for x
    x = 409,029,318,916/291,226
  6. Step 6: Final answer
    x = 1,404,508.25

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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.