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Finding the Third Proportional to 369,537.50 and 796,006

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Solution

The third proportional to 369,537.50 and 796,006 is: 1,714,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,537.50 : 796,006 = 796,006 : x
  2. Step 2: Convert to fraction form
    369,537.50/796,006 = 796,006/x
  3. Step 3: Cross multiply
    369,537.50x = 796,006 × 796,006
  4. Step 4: Simplify right side
    369,537.50x = 633,625,552,036
  5. Step 5: Solve for x
    x = 633,625,552,036/369,537.50
  6. Step 6: Final answer
    x = 1,714,644.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.