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Finding the Third Proportional to 324 and 438.75

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Solution

The third proportional to 324 and 438.75 is: 594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 438.75 = 438.75 : x
  2. Step 2: Convert to fraction form
    324/438.75 = 438.75/x
  3. Step 3: Cross multiply
    324x = 438.75 × 438.75
  4. Step 4: Simplify right side
    324x = 192,501.56
  5. Step 5: Solve for x
    x = 192,501.56/324
  6. Step 6: Final answer
    x = 594.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.