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Finding the Third Proportional to 353,600 and 763,684

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Solution

The third proportional to 353,600 and 763,684 is: 1,649,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,600 : 763,684 = 763,684 : x
  2. Step 2: Convert to fraction form
    353,600/763,684 = 763,684/x
  3. Step 3: Cross multiply
    353,600x = 763,684 × 763,684
  4. Step 4: Simplify right side
    353,600x = 583,213,251,856
  5. Step 5: Solve for x
    x = 583,213,251,856/353,600
  6. Step 6: Final answer
    x = 1,649,358.74

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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.