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Finding the Third Proportional to 412 and 510

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Solution

The third proportional to 412 and 510 is: 631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 510 = 510 : x
  2. Step 2: Convert to fraction form
    412/510 = 510/x
  3. Step 3: Cross multiply
    412x = 510 × 510
  4. Step 4: Simplify right side
    412x = 260,100
  5. Step 5: Solve for x
    x = 260,100/412
  6. Step 6: Final answer
    x = 631.31

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.