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Finding the Third Proportional to 307,469 and 674,169

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Solution

The third proportional to 307,469 and 674,169 is: 1,478,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,469 : 674,169 = 674,169 : x
  2. Step 2: Convert to fraction form
    307,469/674,169 = 674,169/x
  3. Step 3: Cross multiply
    307,469x = 674,169 × 674,169
  4. Step 4: Simplify right side
    307,469x = 454,503,840,561
  5. Step 5: Solve for x
    x = 454,503,840,561/307,469
  6. Step 6: Final answer
    x = 1,478,210.29

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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.