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Finding the Third Proportional to 218,974.22 and 475,127.44

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Solution

The third proportional to 218,974.22 and 475,127.44 is: 1,030,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,974.22 : 475,127.44 = 475,127.44 : x
  2. Step 2: Convert to fraction form
    218,974.22/475,127.44 = 475,127.44/x
  3. Step 3: Cross multiply
    218,974.22x = 475,127.44 × 475,127.44
  4. Step 4: Simplify right side
    218,974.22x = 225,746,081,865.32
  5. Step 5: Solve for x
    x = 225,746,081,865.32/218,974.22
  6. Step 6: Final answer
    x = 1,030,925.39

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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.