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Finding the Third Proportional to 535,285 and 782,823

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Solution

The third proportional to 535,285 and 782,823 is: 1,144,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,285 : 782,823 = 782,823 : x
  2. Step 2: Convert to fraction form
    535,285/782,823 = 782,823/x
  3. Step 3: Cross multiply
    535,285x = 782,823 × 782,823
  4. Step 4: Simplify right side
    535,285x = 612,811,849,329
  5. Step 5: Solve for x
    x = 612,811,849,329/535,285
  6. Step 6: Final answer
    x = 1,144,832.84

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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.