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Finding the Third Proportional to 332,162 and 514,563

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Solution

The third proportional to 332,162 and 514,563 is: 797,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,162 : 514,563 = 514,563 : x
  2. Step 2: Convert to fraction form
    332,162/514,563 = 514,563/x
  3. Step 3: Cross multiply
    332,162x = 514,563 × 514,563
  4. Step 4: Simplify right side
    332,162x = 264,775,080,969
  5. Step 5: Solve for x
    x = 264,775,080,969/332,162
  6. Step 6: Final answer
    x = 797,126.34

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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.