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Finding the Third Proportional to 534,908 and 830,925

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Solution

The third proportional to 534,908 and 830,925 is: 1,290,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,908 : 830,925 = 830,925 : x
  2. Step 2: Convert to fraction form
    534,908/830,925 = 830,925/x
  3. Step 3: Cross multiply
    534,908x = 830,925 × 830,925
  4. Step 4: Simplify right side
    534,908x = 690,436,355,625
  5. Step 5: Solve for x
    x = 690,436,355,625/534,908
  6. Step 6: Final answer
    x = 1,290,757.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.