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Finding the Third Proportional to 535,263.75 and 782,794.13

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Solution

The third proportional to 535,263.75 and 782,794.13 is: 1,144,793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,263.75 : 782,794.13 = 782,794.13 : x
  2. Step 2: Convert to fraction form
    535,263.75/782,794.13 = 782,794.13/x
  3. Step 3: Cross multiply
    535,263.75x = 782,794.13 × 782,794.13
  4. Step 4: Simplify right side
    535,263.75x = 612,766,642,134.52
  5. Step 5: Solve for x
    x = 612,766,642,134.52/535,263.75
  6. Step 6: Final answer
    x = 1,144,793.84

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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.