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Finding the Third Proportional to 622,242 and 965,299

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Solution

The third proportional to 622,242 and 965,299 is: 1,497,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,242 : 965,299 = 965,299 : x
  2. Step 2: Convert to fraction form
    622,242/965,299 = 965,299/x
  3. Step 3: Cross multiply
    622,242x = 965,299 × 965,299
  4. Step 4: Simplify right side
    622,242x = 931,802,159,401
  5. Step 5: Solve for x
    x = 931,802,159,401/622,242
  6. Step 6: Final answer
    x = 1,497,491.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.