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Finding the Third Proportional to 325.63 and 753.25

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Solution

The third proportional to 325.63 and 753.25 is: 1,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.63 : 753.25 = 753.25 : x
  2. Step 2: Convert to fraction form
    325.63/753.25 = 753.25/x
  3. Step 3: Cross multiply
    325.63x = 753.25 × 753.25
  4. Step 4: Simplify right side
    325.63x = 567,385.56
  5. Step 5: Solve for x
    x = 567,385.56/325.63
  6. Step 6: Final answer
    x = 1,742.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.