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Finding the Third Proportional to 628.19 and 1,364.56

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Solution

The third proportional to 628.19 and 1,364.56 is: 2,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.19 : 1,364.56 = 1,364.56 : x
  2. Step 2: Convert to fraction form
    628.19/1,364.56 = 1,364.56/x
  3. Step 3: Cross multiply
    628.19x = 1,364.56 × 1,364.56
  4. Step 4: Simplify right side
    628.19x = 1,862,030.82
  5. Step 5: Solve for x
    x = 1,862,030.82/628.19
  6. Step 6: Final answer
    x = 2,964.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.