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Finding the Third Proportional to 369,132 and 802,290

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Solution

The third proportional to 369,132 and 802,290 is: 1,743,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,132 : 802,290 = 802,290 : x
  2. Step 2: Convert to fraction form
    369,132/802,290 = 802,290/x
  3. Step 3: Cross multiply
    369,132x = 802,290 × 802,290
  4. Step 4: Simplify right side
    369,132x = 643,669,244,100
  5. Step 5: Solve for x
    x = 643,669,244,100/369,132
  6. Step 6: Final answer
    x = 1,743,737.32

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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.