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Finding the Third Proportional to 267,244 and 621,454

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Solution

The third proportional to 267,244 and 621,454 is: 1,445,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,244 : 621,454 = 621,454 : x
  2. Step 2: Convert to fraction form
    267,244/621,454 = 621,454/x
  3. Step 3: Cross multiply
    267,244x = 621,454 × 621,454
  4. Step 4: Simplify right side
    267,244x = 386,205,074,116
  5. Step 5: Solve for x
    x = 386,205,074,116/267,244
  6. Step 6: Final answer
    x = 1,445,140.30

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.