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Finding the Third Proportional to 308,396 and 483,893

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Solution

The third proportional to 308,396 and 483,893 is: 759,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,396 : 483,893 = 483,893 : x
  2. Step 2: Convert to fraction form
    308,396/483,893 = 483,893/x
  3. Step 3: Cross multiply
    308,396x = 483,893 × 483,893
  4. Step 4: Simplify right side
    308,396x = 234,152,435,449
  5. Step 5: Solve for x
    x = 234,152,435,449/308,396
  6. Step 6: Final answer
    x = 759,258.99

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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.