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Finding the Third Proportional to 384,432 and 835,344

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Solution

The third proportional to 384,432 and 835,344 is: 1,815,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,432 : 835,344 = 835,344 : x
  2. Step 2: Convert to fraction form
    384,432/835,344 = 835,344/x
  3. Step 3: Cross multiply
    384,432x = 835,344 × 835,344
  4. Step 4: Simplify right side
    384,432x = 697,799,598,336
  5. Step 5: Solve for x
    x = 697,799,598,336/384,432
  6. Step 6: Final answer
    x = 1,815,144.42

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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.