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Finding the Third Proportional to 612.25 and 945.25

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Solution

The third proportional to 612.25 and 945.25 is: 1,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.25 : 945.25 = 945.25 : x
  2. Step 2: Convert to fraction form
    612.25/945.25 = 945.25/x
  3. Step 3: Cross multiply
    612.25x = 945.25 × 945.25
  4. Step 4: Simplify right side
    612.25x = 893,497.56
  5. Step 5: Solve for x
    x = 893,497.56/612.25
  6. Step 6: Final answer
    x = 1,459.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.