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Finding the Third Proportional to 369,122 and 802,274

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Solution

The third proportional to 369,122 and 802,274 is: 1,743,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,122 : 802,274 = 802,274 : x
  2. Step 2: Convert to fraction form
    369,122/802,274 = 802,274/x
  3. Step 3: Cross multiply
    369,122x = 802,274 × 802,274
  4. Step 4: Simplify right side
    369,122x = 643,643,571,076
  5. Step 5: Solve for x
    x = 643,643,571,076/369,122
  6. Step 6: Final answer
    x = 1,743,715.01

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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.