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Finding the Third Proportional to 532,969 and 796,921

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Solution

The third proportional to 532,969 and 796,921 is: 1,191,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,969 : 796,921 = 796,921 : x
  2. Step 2: Convert to fraction form
    532,969/796,921 = 796,921/x
  3. Step 3: Cross multiply
    532,969x = 796,921 × 796,921
  4. Step 4: Simplify right side
    532,969x = 635,083,080,241
  5. Step 5: Solve for x
    x = 635,083,080,241/532,969
  6. Step 6: Final answer
    x = 1,191,594.78

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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.