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Finding the Third Proportional to 233,239 and 487,191

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Solution

The third proportional to 233,239 and 487,191 is: 1,017,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,239 : 487,191 = 487,191 : x
  2. Step 2: Convert to fraction form
    233,239/487,191 = 487,191/x
  3. Step 3: Cross multiply
    233,239x = 487,191 × 487,191
  4. Step 4: Simplify right side
    233,239x = 237,355,070,481
  5. Step 5: Solve for x
    x = 237,355,070,481/233,239
  6. Step 6: Final answer
    x = 1,017,647.44

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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.