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Finding the Third Proportional to 281,274 and 606,529

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Solution

The third proportional to 281,274 and 606,529 is: 1,307,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,274 : 606,529 = 606,529 : x
  2. Step 2: Convert to fraction form
    281,274/606,529 = 606,529/x
  3. Step 3: Cross multiply
    281,274x = 606,529 × 606,529
  4. Step 4: Simplify right side
    281,274x = 367,877,427,841
  5. Step 5: Solve for x
    x = 367,877,427,841/281,274
  6. Step 6: Final answer
    x = 1,307,897.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.