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Finding the Third Proportional to 395,280 and 852,624

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Solution

The third proportional to 395,280 and 852,624 is: 1,839,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,280 : 852,624 = 852,624 : x
  2. Step 2: Convert to fraction form
    395,280/852,624 = 852,624/x
  3. Step 3: Cross multiply
    395,280x = 852,624 × 852,624
  4. Step 4: Simplify right side
    395,280x = 726,967,685,376
  5. Step 5: Solve for x
    x = 726,967,685,376/395,280
  6. Step 6: Final answer
    x = 1,839,120.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.