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Finding the Third Proportional to 510 and 955

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Solution

The third proportional to 510 and 955 is: 1,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 955 = 955 : x
  2. Step 2: Convert to fraction form
    510/955 = 955/x
  3. Step 3: Cross multiply
    510x = 955 × 955
  4. Step 4: Simplify right side
    510x = 912,025
  5. Step 5: Solve for x
    x = 912,025/510
  6. Step 6: Final answer
    x = 1,788.28

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.