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Finding the Third Proportional to 622,208 and 965,248

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Solution

The third proportional to 622,208 and 965,248 is: 1,497,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,208 : 965,248 = 965,248 : x
  2. Step 2: Convert to fraction form
    622,208/965,248 = 965,248/x
  3. Step 3: Cross multiply
    622,208x = 965,248 × 965,248
  4. Step 4: Simplify right side
    622,208x = 931,703,701,504
  5. Step 5: Solve for x
    x = 931,703,701,504/622,208
  6. Step 6: Final answer
    x = 1,497,415.18

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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.