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Finding the Third Proportional to 524,065 and 831,170

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Solution

The third proportional to 524,065 and 831,170 is: 1,318,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,065 : 831,170 = 831,170 : x
  2. Step 2: Convert to fraction form
    524,065/831,170 = 831,170/x
  3. Step 3: Cross multiply
    524,065x = 831,170 × 831,170
  4. Step 4: Simplify right side
    524,065x = 690,843,568,900
  5. Step 5: Solve for x
    x = 690,843,568,900/524,065
  6. Step 6: Final answer
    x = 1,318,240.24

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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.