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Finding the Third Proportional to 202,963.50 and 459,049.50

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Solution

The third proportional to 202,963.50 and 459,049.50 is: 1,038,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,963.50 : 459,049.50 = 459,049.50 : x
  2. Step 2: Convert to fraction form
    202,963.50/459,049.50 = 459,049.50/x
  3. Step 3: Cross multiply
    202,963.50x = 459,049.50 × 459,049.50
  4. Step 4: Simplify right side
    202,963.50x = 210,726,443,450.25
  5. Step 5: Solve for x
    x = 210,726,443,450.25/202,963.50
  6. Step 6: Final answer
    x = 1,038,247.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.