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Finding the Third Proportional to 222,657 and 453,091

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Solution

The third proportional to 222,657 and 453,091 is: 922,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,657 : 453,091 = 453,091 : x
  2. Step 2: Convert to fraction form
    222,657/453,091 = 453,091/x
  3. Step 3: Cross multiply
    222,657x = 453,091 × 453,091
  4. Step 4: Simplify right side
    222,657x = 205,291,454,281
  5. Step 5: Solve for x
    x = 205,291,454,281/222,657
  6. Step 6: Final answer
    x = 922,007.64

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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.