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Finding the Third Proportional to 199,448 and 436,440

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Solution

The third proportional to 199,448 and 436,440 is: 955,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,448 : 436,440 = 436,440 : x
  2. Step 2: Convert to fraction form
    199,448/436,440 = 436,440/x
  3. Step 3: Cross multiply
    199,448x = 436,440 × 436,440
  4. Step 4: Simplify right side
    199,448x = 190,479,873,600
  5. Step 5: Solve for x
    x = 190,479,873,600/199,448
  6. Step 6: Final answer
    x = 955,035.27

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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.