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Finding the Third Proportional to 355,324 and 763,352

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Solution

The third proportional to 355,324 and 763,352 is: 1,639,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,324 : 763,352 = 763,352 : x
  2. Step 2: Convert to fraction form
    355,324/763,352 = 763,352/x
  3. Step 3: Cross multiply
    355,324x = 763,352 × 763,352
  4. Step 4: Simplify right side
    355,324x = 582,706,275,904
  5. Step 5: Solve for x
    x = 582,706,275,904/355,324
  6. Step 6: Final answer
    x = 1,639,929.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.