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Finding the Third Proportional to 267,084 and 621,054

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Solution

The third proportional to 267,084 and 621,054 is: 1,444,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,084 : 621,054 = 621,054 : x
  2. Step 2: Convert to fraction form
    267,084/621,054 = 621,054/x
  3. Step 3: Cross multiply
    267,084x = 621,054 × 621,054
  4. Step 4: Simplify right side
    267,084x = 385,708,070,916
  5. Step 5: Solve for x
    x = 385,708,070,916/267,084
  6. Step 6: Final answer
    x = 1,444,145.18

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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.