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Finding the Third Proportional to 332.25 and 719.81

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Solution

The third proportional to 332.25 and 719.81 is: 1,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.25 : 719.81 = 719.81 : x
  2. Step 2: Convert to fraction form
    332.25/719.81 = 719.81/x
  3. Step 3: Cross multiply
    332.25x = 719.81 × 719.81
  4. Step 4: Simplify right side
    332.25x = 518,130.04
  5. Step 5: Solve for x
    x = 518,130.04/332.25
  6. Step 6: Final answer
    x = 1,559.46

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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.