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Finding the Third Proportional to 438.75 and 472.50

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Solution

The third proportional to 438.75 and 472.50 is: 508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.75 : 472.50 = 472.50 : x
  2. Step 2: Convert to fraction form
    438.75/472.50 = 472.50/x
  3. Step 3: Cross multiply
    438.75x = 472.50 × 472.50
  4. Step 4: Simplify right side
    438.75x = 223,256.25
  5. Step 5: Solve for x
    x = 223,256.25/438.75
  6. Step 6: Final answer
    x = 508.85

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.