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Finding the Third Proportional to 674,958 and 949,282

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Solution

The third proportional to 674,958 and 949,282 is: 1,335,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,958 : 949,282 = 949,282 : x
  2. Step 2: Convert to fraction form
    674,958/949,282 = 949,282/x
  3. Step 3: Cross multiply
    674,958x = 949,282 × 949,282
  4. Step 4: Simplify right side
    674,958x = 901,136,315,524
  5. Step 5: Solve for x
    x = 901,136,315,524/674,958
  6. Step 6: Final answer
    x = 1,335,099.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.