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Finding the Third Proportional to 353,584 and 763,228

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Solution

The third proportional to 353,584 and 763,228 is: 1,647,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,584 : 763,228 = 763,228 : x
  2. Step 2: Convert to fraction form
    353,584/763,228 = 763,228/x
  3. Step 3: Cross multiply
    353,584x = 763,228 × 763,228
  4. Step 4: Simplify right side
    353,584x = 582,516,979,984
  5. Step 5: Solve for x
    x = 582,516,979,984/353,584
  6. Step 6: Final answer
    x = 1,647,464.20

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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.