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Finding the Third Proportional to 202,573 and 439,439

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Solution

The third proportional to 202,573 and 439,439 is: 953,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,573 : 439,439 = 439,439 : x
  2. Step 2: Convert to fraction form
    202,573/439,439 = 439,439/x
  3. Step 3: Cross multiply
    202,573x = 439,439 × 439,439
  4. Step 4: Simplify right side
    202,573x = 193,106,634,721
  5. Step 5: Solve for x
    x = 193,106,634,721/202,573
  6. Step 6: Final answer
    x = 953,269.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.