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Finding the Third Proportional to 222,412 and 477,008

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Solution

The third proportional to 222,412 and 477,008 is: 1,023,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,412 : 477,008 = 477,008 : x
  2. Step 2: Convert to fraction form
    222,412/477,008 = 477,008/x
  3. Step 3: Cross multiply
    222,412x = 477,008 × 477,008
  4. Step 4: Simplify right side
    222,412x = 227,536,632,064
  5. Step 5: Solve for x
    x = 227,536,632,064/222,412
  6. Step 6: Final answer
    x = 1,023,041.17

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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.