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Finding the Third Proportional to 412 and 469.50

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Solution

The third proportional to 412 and 469.50 is: 535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 469.50 = 469.50 : x
  2. Step 2: Convert to fraction form
    412/469.50 = 469.50/x
  3. Step 3: Cross multiply
    412x = 469.50 × 469.50
  4. Step 4: Simplify right side
    412x = 220,430.25
  5. Step 5: Solve for x
    x = 220,430.25/412
  6. Step 6: Final answer
    x = 535.02

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.