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Finding the Third Proportional to 369,065 and 802,099

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Solution

The third proportional to 369,065 and 802,099 is: 1,743,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,065 : 802,099 = 802,099 : x
  2. Step 2: Convert to fraction form
    369,065/802,099 = 802,099/x
  3. Step 3: Cross multiply
    369,065x = 802,099 × 802,099
  4. Step 4: Simplify right side
    369,065x = 643,362,805,801
  5. Step 5: Solve for x
    x = 643,362,805,801/369,065
  6. Step 6: Final answer
    x = 1,743,223.57

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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.