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Finding the Third Proportional to 246,753 and 535,786.50

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Solution

The third proportional to 246,753 and 535,786.50 is: 1,163,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,753 : 535,786.50 = 535,786.50 : x
  2. Step 2: Convert to fraction form
    246,753/535,786.50 = 535,786.50/x
  3. Step 3: Cross multiply
    246,753x = 535,786.50 × 535,786.50
  4. Step 4: Simplify right side
    246,753x = 287,067,173,582.25
  5. Step 5: Solve for x
    x = 287,067,173,582.25/246,753
  6. Step 6: Final answer
    x = 1,163,378.66

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