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Finding the Third Proportional to 345.75 and 528.88

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Solution

The third proportional to 345.75 and 528.88 is: 808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.75 : 528.88 = 528.88 : x
  2. Step 2: Convert to fraction form
    345.75/528.88 = 528.88/x
  3. Step 3: Cross multiply
    345.75x = 528.88 × 528.88
  4. Step 4: Simplify right side
    345.75x = 279,708.77
  5. Step 5: Solve for x
    x = 279,708.77/345.75
  6. Step 6: Final answer
    x = 808.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.