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Finding the Third Proportional to 327,414 and 702,668.25

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Solution

The third proportional to 327,414 and 702,668.25 is: 1,508,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,414 : 702,668.25 = 702,668.25 : x
  2. Step 2: Convert to fraction form
    327,414/702,668.25 = 702,668.25/x
  3. Step 3: Cross multiply
    327,414x = 702,668.25 × 702,668.25
  4. Step 4: Simplify right side
    327,414x = 493,742,669,558.06
  5. Step 5: Solve for x
    x = 493,742,669,558.06/327,414
  6. Step 6: Final answer
    x = 1,508,007.20

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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.