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Finding the Third Proportional to 308,496 and 488,880

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Solution

The third proportional to 308,496 and 488,880 is: 774,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,496 : 488,880 = 488,880 : x
  2. Step 2: Convert to fraction form
    308,496/488,880 = 488,880/x
  3. Step 3: Cross multiply
    308,496x = 488,880 × 488,880
  4. Step 4: Simplify right side
    308,496x = 239,003,654,400
  5. Step 5: Solve for x
    x = 239,003,654,400/308,496
  6. Step 6: Final answer
    x = 774,738.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.