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Finding the Third Proportional to 307,984 and 674,816

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Solution

The third proportional to 307,984 and 674,816 is: 1,478,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,984 : 674,816 = 674,816 : x
  2. Step 2: Convert to fraction form
    307,984/674,816 = 674,816/x
  3. Step 3: Cross multiply
    307,984x = 674,816 × 674,816
  4. Step 4: Simplify right side
    307,984x = 455,376,633,856
  5. Step 5: Solve for x
    x = 455,376,633,856/307,984
  6. Step 6: Final answer
    x = 1,478,572.37

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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.