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Finding the Third Proportional to 1,398 and 1,556.63

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Solution

The third proportional to 1,398 and 1,556.63 is: 1,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398 : 1,556.63 = 1,556.63 : x
  2. Step 2: Convert to fraction form
    1,398/1,556.63 = 1,556.63/x
  3. Step 3: Cross multiply
    1,398x = 1,556.63 × 1,556.63
  4. Step 4: Simplify right side
    1,398x = 2,423,081.39
  5. Step 5: Solve for x
    x = 2,423,081.39/1,398
  6. Step 6: Final answer
    x = 1,733.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.