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Finding the Third Proportional to 233,262 and 487,232

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Solution

The third proportional to 233,262 and 487,232 is: 1,017,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,262 : 487,232 = 487,232 : x
  2. Step 2: Convert to fraction form
    233,262/487,232 = 487,232/x
  3. Step 3: Cross multiply
    233,262x = 487,232 × 487,232
  4. Step 4: Simplify right side
    233,262x = 237,395,021,824
  5. Step 5: Solve for x
    x = 237,395,021,824/233,262
  6. Step 6: Final answer
    x = 1,017,718.37

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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.