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Finding the Third Proportional to 223,374 and 477,912

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Solution

The third proportional to 223,374 and 477,912 is: 1,022,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,374 : 477,912 = 477,912 : x
  2. Step 2: Convert to fraction form
    223,374/477,912 = 477,912/x
  3. Step 3: Cross multiply
    223,374x = 477,912 × 477,912
  4. Step 4: Simplify right side
    223,374x = 228,399,879,744
  5. Step 5: Solve for x
    x = 228,399,879,744/223,374
  6. Step 6: Final answer
    x = 1,022,499.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.