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Finding the Third Proportional to 222,362.25 and 487,575.75

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Solution

The third proportional to 222,362.25 and 487,575.75 is: 1,069,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,362.25 : 487,575.75 = 487,575.75 : x
  2. Step 2: Convert to fraction form
    222,362.25/487,575.75 = 487,575.75/x
  3. Step 3: Cross multiply
    222,362.25x = 487,575.75 × 487,575.75
  4. Step 4: Simplify right side
    222,362.25x = 237,730,111,988.06
  5. Step 5: Solve for x
    x = 237,730,111,988.06/222,362.25
  6. Step 6: Final answer
    x = 1,069,111.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.