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Finding the Third Proportional to 281,102 and 609,232

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Solution

The third proportional to 281,102 and 609,232 is: 1,320,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,102 : 609,232 = 609,232 : x
  2. Step 2: Convert to fraction form
    281,102/609,232 = 609,232/x
  3. Step 3: Cross multiply
    281,102x = 609,232 × 609,232
  4. Step 4: Simplify right side
    281,102x = 371,163,629,824
  5. Step 5: Solve for x
    x = 371,163,629,824/281,102
  6. Step 6: Final answer
    x = 1,320,387.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.