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Finding the Third Proportional to 308,762 and 463,891

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Solution

The third proportional to 308,762 and 463,891 is: 696,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,762 : 463,891 = 463,891 : x
  2. Step 2: Convert to fraction form
    308,762/463,891 = 463,891/x
  3. Step 3: Cross multiply
    308,762x = 463,891 × 463,891
  4. Step 4: Simplify right side
    308,762x = 215,194,859,881
  5. Step 5: Solve for x
    x = 215,194,859,881/308,762
  6. Step 6: Final answer
    x = 696,960.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.