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Finding the Third Proportional to 369,072 and 802,112

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Solution

The third proportional to 369,072 and 802,112 is: 1,743,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,072 : 802,112 = 802,112 : x
  2. Step 2: Convert to fraction form
    369,072/802,112 = 802,112/x
  3. Step 3: Cross multiply
    369,072x = 802,112 × 802,112
  4. Step 4: Simplify right side
    369,072x = 643,383,660,544
  5. Step 5: Solve for x
    x = 643,383,660,544/369,072
  6. Step 6: Final answer
    x = 1,743,247.01

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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.