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Finding the Third Proportional to 626.72 and 973.59

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Solution

The third proportional to 626.72 and 973.59 is: 1,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.72 : 973.59 = 973.59 : x
  2. Step 2: Convert to fraction form
    626.72/973.59 = 973.59/x
  3. Step 3: Cross multiply
    626.72x = 973.59 × 973.59
  4. Step 4: Simplify right side
    626.72x = 947,884.79
  5. Step 5: Solve for x
    x = 947,884.79/626.72
  6. Step 6: Final answer
    x = 1,512.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.