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Finding the Third Proportional to 505,946 and 756,183

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Solution

The third proportional to 505,946 and 756,183 is: 1,130,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,946 : 756,183 = 756,183 : x
  2. Step 2: Convert to fraction form
    505,946/756,183 = 756,183/x
  3. Step 3: Cross multiply
    505,946x = 756,183 × 756,183
  4. Step 4: Simplify right side
    505,946x = 571,812,729,489
  5. Step 5: Solve for x
    x = 571,812,729,489/505,946
  6. Step 6: Final answer
    x = 1,130,185.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.