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Finding the Third Proportional to 222,658 and 453,090

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Solution

The third proportional to 222,658 and 453,090 is: 921,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,658 : 453,090 = 453,090 : x
  2. Step 2: Convert to fraction form
    222,658/453,090 = 453,090/x
  3. Step 3: Cross multiply
    222,658x = 453,090 × 453,090
  4. Step 4: Simplify right side
    222,658x = 205,290,548,100
  5. Step 5: Solve for x
    x = 205,290,548,100/222,658
  6. Step 6: Final answer
    x = 921,999.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.