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Finding the Third Proportional to 308,258 and 483,690

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Solution

The third proportional to 308,258 and 483,690 is: 758,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,258 : 483,690 = 483,690 : x
  2. Step 2: Convert to fraction form
    308,258/483,690 = 483,690/x
  3. Step 3: Cross multiply
    308,258x = 483,690 × 483,690
  4. Step 4: Simplify right side
    308,258x = 233,956,016,100
  5. Step 5: Solve for x
    x = 233,956,016,100/308,258
  6. Step 6: Final answer
    x = 758,961.70

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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.