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Finding the Third Proportional to 1,257 and 1,398.75

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Solution

The third proportional to 1,257 and 1,398.75 is: 1,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257 : 1,398.75 = 1,398.75 : x
  2. Step 2: Convert to fraction form
    1,257/1,398.75 = 1,398.75/x
  3. Step 3: Cross multiply
    1,257x = 1,398.75 × 1,398.75
  4. Step 4: Simplify right side
    1,257x = 1,956,501.56
  5. Step 5: Solve for x
    x = 1,956,501.56/1,257
  6. Step 6: Final answer
    x = 1,556.48

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