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Finding the Third Proportional to 230,399 and 505,083

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Solution

The third proportional to 230,399 and 505,083 is: 1,107,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,399 : 505,083 = 505,083 : x
  2. Step 2: Convert to fraction form
    230,399/505,083 = 505,083/x
  3. Step 3: Cross multiply
    230,399x = 505,083 × 505,083
  4. Step 4: Simplify right side
    230,399x = 255,108,836,889
  5. Step 5: Solve for x
    x = 255,108,836,889/230,399
  6. Step 6: Final answer
    x = 1,107,248.02

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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.