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Finding the Third Proportional to 529.59 and 770.34

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Solution

The third proportional to 529.59 and 770.34 is: 1,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.59 : 770.34 = 770.34 : x
  2. Step 2: Convert to fraction form
    529.59/770.34 = 770.34/x
  3. Step 3: Cross multiply
    529.59x = 770.34 × 770.34
  4. Step 4: Simplify right side
    529.59x = 593,429.49
  5. Step 5: Solve for x
    x = 593,429.49/529.59
  6. Step 6: Final answer
    x = 1,120.54

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.