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Finding the Third Proportional to 233,226 and 487,167

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Solution

The third proportional to 233,226 and 487,167 is: 1,017,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,226 : 487,167 = 487,167 : x
  2. Step 2: Convert to fraction form
    233,226/487,167 = 487,167/x
  3. Step 3: Cross multiply
    233,226x = 487,167 × 487,167
  4. Step 4: Simplify right side
    233,226x = 237,331,685,889
  5. Step 5: Solve for x
    x = 237,331,685,889/233,226
  6. Step 6: Final answer
    x = 1,017,603.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.