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Finding the Third Proportional to 535,286 and 782,826

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Solution

The third proportional to 535,286 and 782,826 is: 1,144,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,286 : 782,826 = 782,826 : x
  2. Step 2: Convert to fraction form
    535,286/782,826 = 782,826/x
  3. Step 3: Cross multiply
    535,286x = 782,826 × 782,826
  4. Step 4: Simplify right side
    535,286x = 612,816,546,276
  5. Step 5: Solve for x
    x = 612,816,546,276/535,286
  6. Step 6: Final answer
    x = 1,144,839.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.