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Finding the Third Proportional to 369,068 and 802,104

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Solution

The third proportional to 369,068 and 802,104 is: 1,743,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,068 : 802,104 = 802,104 : x
  2. Step 2: Convert to fraction form
    369,068/802,104 = 802,104/x
  3. Step 3: Cross multiply
    369,068x = 802,104 × 802,104
  4. Step 4: Simplify right side
    369,068x = 643,370,826,816
  5. Step 5: Solve for x
    x = 643,370,826,816/369,068
  6. Step 6: Final answer
    x = 1,743,231.13

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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.