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Finding the Third Proportional to 307,468 and 674,167

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Solution

The third proportional to 307,468 and 674,167 is: 1,478,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,468 : 674,167 = 674,167 : x
  2. Step 2: Convert to fraction form
    307,468/674,167 = 674,167/x
  3. Step 3: Cross multiply
    307,468x = 674,167 × 674,167
  4. Step 4: Simplify right side
    307,468x = 454,501,143,889
  5. Step 5: Solve for x
    x = 454,501,143,889/307,468
  6. Step 6: Final answer
    x = 1,478,206.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.