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Finding the Third Proportional to 535,563.75 and 782,820.75

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Solution

The third proportional to 535,563.75 and 782,820.75 is: 1,144,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,563.75 : 782,820.75 = 782,820.75 : x
  2. Step 2: Convert to fraction form
    535,563.75/782,820.75 = 782,820.75/x
  3. Step 3: Cross multiply
    535,563.75x = 782,820.75 × 782,820.75
  4. Step 4: Simplify right side
    535,563.75x = 612,808,326,630.56
  5. Step 5: Solve for x
    x = 612,808,326,630.56/535,563.75
  6. Step 6: Final answer
    x = 1,144,230.41

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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.