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Finding the Third Proportional to 323,616 and 700,224

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Solution

The third proportional to 323,616 and 700,224 is: 1,515,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,616 : 700,224 = 700,224 : x
  2. Step 2: Convert to fraction form
    323,616/700,224 = 700,224/x
  3. Step 3: Cross multiply
    323,616x = 700,224 × 700,224
  4. Step 4: Simplify right side
    323,616x = 490,313,650,176
  5. Step 5: Solve for x
    x = 490,313,650,176/323,616
  6. Step 6: Final answer
    x = 1,515,109.42

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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.