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Finding the Third Proportional to 622,336 and 965,504

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Solution

The third proportional to 622,336 and 965,504 is: 1,497,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,336 : 965,504 = 965,504 : x
  2. Step 2: Convert to fraction form
    622,336/965,504 = 965,504/x
  3. Step 3: Cross multiply
    622,336x = 965,504 × 965,504
  4. Step 4: Simplify right side
    622,336x = 932,197,974,016
  5. Step 5: Solve for x
    x = 932,197,974,016/622,336
  6. Step 6: Final answer
    x = 1,497,901.41

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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.