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Finding the Third Proportional to 609,578 and 949,269

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Solution

The third proportional to 609,578 and 949,269 is: 1,478,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,578 : 949,269 = 949,269 : x
  2. Step 2: Convert to fraction form
    609,578/949,269 = 949,269/x
  3. Step 3: Cross multiply
    609,578x = 949,269 × 949,269
  4. Step 4: Simplify right side
    609,578x = 901,111,634,361
  5. Step 5: Solve for x
    x = 901,111,634,361/609,578
  6. Step 6: Final answer
    x = 1,478,254.85

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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.