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Finding the Third Proportional to 609,573 and 949,257

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Solution

The third proportional to 609,573 and 949,257 is: 1,478,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,573 : 949,257 = 949,257 : x
  2. Step 2: Convert to fraction form
    609,573/949,257 = 949,257/x
  3. Step 3: Cross multiply
    609,573x = 949,257 × 949,257
  4. Step 4: Simplify right side
    609,573x = 901,088,852,049
  5. Step 5: Solve for x
    x = 901,088,852,049/609,573
  6. Step 6: Final answer
    x = 1,478,229.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.