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Finding the Third Proportional to 369,537 and 796,004

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Solution

The third proportional to 369,537 and 796,004 is: 1,714,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,537 : 796,004 = 796,004 : x
  2. Step 2: Convert to fraction form
    369,537/796,004 = 796,004/x
  3. Step 3: Cross multiply
    369,537x = 796,004 × 796,004
  4. Step 4: Simplify right side
    369,537x = 633,622,368,016
  5. Step 5: Solve for x
    x = 633,622,368,016/369,537
  6. Step 6: Final answer
    x = 1,714,638.50

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Why These Related Problems?

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