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Finding the Third Proportional to 230,610 and 504,960

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Solution

The third proportional to 230,610 and 504,960 is: 1,105,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,610 : 504,960 = 504,960 : x
  2. Step 2: Convert to fraction form
    230,610/504,960 = 504,960/x
  3. Step 3: Cross multiply
    230,610x = 504,960 × 504,960
  4. Step 4: Simplify right side
    230,610x = 254,984,601,600
  5. Step 5: Solve for x
    x = 254,984,601,600/230,610
  6. Step 6: Final answer
    x = 1,105,696.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.