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Finding the Third Proportional to 369,946.13 and 796,038.75

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Solution

The third proportional to 369,946.13 and 796,038.75 is: 1,712,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,946.13 : 796,038.75 = 796,038.75 : x
  2. Step 2: Convert to fraction form
    369,946.13/796,038.75 = 796,038.75/x
  3. Step 3: Cross multiply
    369,946.13x = 796,038.75 × 796,038.75
  4. Step 4: Simplify right side
    369,946.13x = 633,677,691,501.56
  5. Step 5: Solve for x
    x = 633,677,691,501.56/369,946.13
  6. Step 6: Final answer
    x = 1,712,891.82

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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.