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Finding the Third Proportional to 551,958 and 830,671

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Solution

The third proportional to 551,958 and 830,671 is: 1,250,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,958 : 830,671 = 830,671 : x
  2. Step 2: Convert to fraction form
    551,958/830,671 = 830,671/x
  3. Step 3: Cross multiply
    551,958x = 830,671 × 830,671
  4. Step 4: Simplify right side
    551,958x = 690,014,310,241
  5. Step 5: Solve for x
    x = 690,014,310,241/551,958
  6. Step 6: Final answer
    x = 1,250,121.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.