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Finding the Third Proportional to 308,809.13 and 449,141.63

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Solution

The third proportional to 308,809.13 and 449,141.63 is: 653,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,809.13 : 449,141.63 = 449,141.63 : x
  2. Step 2: Convert to fraction form
    308,809.13/449,141.63 = 449,141.63/x
  3. Step 3: Cross multiply
    308,809.13x = 449,141.63 × 449,141.63
  4. Step 4: Simplify right side
    308,809.13x = 201,728,199,307.64
  5. Step 5: Solve for x
    x = 201,728,199,307.64/308,809.13
  6. Step 6: Final answer
    x = 653,245.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.