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Finding the Third Proportional to 631.88 and 965.06

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Solution

The third proportional to 631.88 and 965.06 is: 1,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.88 : 965.06 = 965.06 : x
  2. Step 2: Convert to fraction form
    631.88/965.06 = 965.06/x
  3. Step 3: Cross multiply
    631.88x = 965.06 × 965.06
  4. Step 4: Simplify right side
    631.88x = 931,345.63
  5. Step 5: Solve for x
    x = 931,345.63/631.88
  6. Step 6: Final answer
    x = 1,473.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.