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Finding the Third Proportional to 308,229 and 483,641

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Solution

The third proportional to 308,229 and 483,641 is: 758,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,229 : 483,641 = 483,641 : x
  2. Step 2: Convert to fraction form
    308,229/483,641 = 483,641/x
  3. Step 3: Cross multiply
    308,229x = 483,641 × 483,641
  4. Step 4: Simplify right side
    308,229x = 233,908,616,881
  5. Step 5: Solve for x
    x = 233,908,616,881/308,229
  6. Step 6: Final answer
    x = 758,879.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.