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Finding the Third Proportional to 246,766.50 and 535,815

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Solution

The third proportional to 246,766.50 and 535,815 is: 1,163,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,766.50 : 535,815 = 535,815 : x
  2. Step 2: Convert to fraction form
    246,766.50/535,815 = 535,815/x
  3. Step 3: Cross multiply
    246,766.50x = 535,815 × 535,815
  4. Step 4: Simplify right side
    246,766.50x = 287,097,714,225
  5. Step 5: Solve for x
    x = 287,097,714,225/246,766.50
  6. Step 6: Final answer
    x = 1,163,438.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.