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Finding the Third Proportional to 308,286 and 483,726.94

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Solution

The third proportional to 308,286 and 483,726.94 is: 759,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,286 : 483,726.94 = 483,726.94 : x
  2. Step 2: Convert to fraction form
    308,286/483,726.94 = 483,726.94/x
  3. Step 3: Cross multiply
    308,286x = 483,726.94 × 483,726.94
  4. Step 4: Simplify right side
    308,286x = 233,991,750,063.13
  5. Step 5: Solve for x
    x = 233,991,750,063.13/308,286
  6. Step 6: Final answer
    x = 759,008.68

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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.