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Finding the Third Proportional to 510 and 677.75

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Solution

The third proportional to 510 and 677.75 is: 900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 677.75 = 677.75 : x
  2. Step 2: Convert to fraction form
    510/677.75 = 677.75/x
  3. Step 3: Cross multiply
    510x = 677.75 × 677.75
  4. Step 4: Simplify right side
    510x = 459,345.06
  5. Step 5: Solve for x
    x = 459,345.06/510
  6. Step 6: Final answer
    x = 900.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.