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Finding the Third Proportional to 204,975.56 and 449,312.06

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Solution

The third proportional to 204,975.56 and 449,312.06 is: 984,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,975.56 : 449,312.06 = 449,312.06 : x
  2. Step 2: Convert to fraction form
    204,975.56/449,312.06 = 449,312.06/x
  3. Step 3: Cross multiply
    204,975.56x = 449,312.06 × 449,312.06
  4. Step 4: Simplify right side
    204,975.56x = 201,881,329,508.00
  5. Step 5: Solve for x
    x = 201,881,329,508.00/204,975.56
  6. Step 6: Final answer
    x = 984,904.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.