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Finding the Third Proportional to 229,467.94 and 322,570.69

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Solution

The third proportional to 229,467.94 and 322,570.69 is: 453,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,467.94 : 322,570.69 = 322,570.69 : x
  2. Step 2: Convert to fraction form
    229,467.94/322,570.69 = 322,570.69/x
  3. Step 3: Cross multiply
    229,467.94x = 322,570.69 × 322,570.69
  4. Step 4: Simplify right side
    229,467.94x = 104,051,848,434.22
  5. Step 5: Solve for x
    x = 104,051,848,434.22/229,467.94
  6. Step 6: Final answer
    x = 453,448.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.