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Finding the Third Proportional to 628.17 and 1,455.05

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Solution

The third proportional to 628.17 and 1,455.05 is: 3,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.17 : 1,455.05 = 1,455.05 : x
  2. Step 2: Convert to fraction form
    628.17/1,455.05 = 1,455.05/x
  3. Step 3: Cross multiply
    628.17x = 1,455.05 × 1,455.05
  4. Step 4: Simplify right side
    628.17x = 2,117,161.41
  5. Step 5: Solve for x
    x = 2,117,161.41/628.17
  6. Step 6: Final answer
    x = 3,370.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.