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Finding the Third Proportional to 222,253.50 and 480,045.75

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Solution

The third proportional to 222,253.50 and 480,045.75 is: 1,036,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,253.50 : 480,045.75 = 480,045.75 : x
  2. Step 2: Convert to fraction form
    222,253.50/480,045.75 = 480,045.75/x
  3. Step 3: Cross multiply
    222,253.50x = 480,045.75 × 480,045.75
  4. Step 4: Simplify right side
    222,253.50x = 230,443,922,093.06
  5. Step 5: Solve for x
    x = 230,443,922,093.06/222,253.50
  6. Step 6: Final answer
    x = 1,036,851.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.