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Finding the Third Proportional to 1,425.56 and 1,628.06

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Solution

The third proportional to 1,425.56 and 1,628.06 is: 1,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.56 : 1,628.06 = 1,628.06 : x
  2. Step 2: Convert to fraction form
    1,425.56/1,628.06 = 1,628.06/x
  3. Step 3: Cross multiply
    1,425.56x = 1,628.06 × 1,628.06
  4. Step 4: Simplify right side
    1,425.56x = 2,650,587.50
  5. Step 5: Solve for x
    x = 2,650,587.50/1,425.56
  6. Step 6: Final answer
    x = 1,859.33

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.