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Finding the Third Proportional to 510.75 and 670.50

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Solution

The third proportional to 510.75 and 670.50 is: 880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 670.50 = 670.50 : x
  2. Step 2: Convert to fraction form
    510.75/670.50 = 670.50/x
  3. Step 3: Cross multiply
    510.75x = 670.50 × 670.50
  4. Step 4: Simplify right side
    510.75x = 449,570.25
  5. Step 5: Solve for x
    x = 449,570.25/510.75
  6. Step 6: Final answer
    x = 880.22

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.