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Finding the Third Proportional to 202,384 and 440,440

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Solution

The third proportional to 202,384 and 440,440 is: 958,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,384 : 440,440 = 440,440 : x
  2. Step 2: Convert to fraction form
    202,384/440,440 = 440,440/x
  3. Step 3: Cross multiply
    202,384x = 440,440 × 440,440
  4. Step 4: Simplify right side
    202,384x = 193,987,393,600
  5. Step 5: Solve for x
    x = 193,987,393,600/202,384
  6. Step 6: Final answer
    x = 958,511.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.