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Finding the Third Proportional to 609,658 and 949,375

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Solution

The third proportional to 609,658 and 949,375 is: 1,478,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,658 : 949,375 = 949,375 : x
  2. Step 2: Convert to fraction form
    609,658/949,375 = 949,375/x
  3. Step 3: Cross multiply
    609,658x = 949,375 × 949,375
  4. Step 4: Simplify right side
    609,658x = 901,312,890,625
  5. Step 5: Solve for x
    x = 901,312,890,625/609,658
  6. Step 6: Final answer
    x = 1,478,390.98

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