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Finding the Third Proportional to 448,178 and 980,268

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Solution

The third proportional to 448,178 and 980,268 is: 2,144,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,178 : 980,268 = 980,268 : x
  2. Step 2: Convert to fraction form
    448,178/980,268 = 980,268/x
  3. Step 3: Cross multiply
    448,178x = 980,268 × 980,268
  4. Step 4: Simplify right side
    448,178x = 960,925,351,824
  5. Step 5: Solve for x
    x = 960,925,351,824/448,178
  6. Step 6: Final answer
    x = 2,144,070.78

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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.