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Finding the Third Proportional to 522,078 and 830,734

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Solution

The third proportional to 522,078 and 830,734 is: 1,321,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,078 : 830,734 = 830,734 : x
  2. Step 2: Convert to fraction form
    522,078/830,734 = 830,734/x
  3. Step 3: Cross multiply
    522,078x = 830,734 × 830,734
  4. Step 4: Simplify right side
    522,078x = 690,118,978,756
  5. Step 5: Solve for x
    x = 690,118,978,756/522,078
  6. Step 6: Final answer
    x = 1,321,869.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.