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Finding the Third Proportional to 263,798 and 409,083

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Solution

The third proportional to 263,798 and 409,083 is: 634,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,798 : 409,083 = 409,083 : x
  2. Step 2: Convert to fraction form
    263,798/409,083 = 409,083/x
  3. Step 3: Cross multiply
    263,798x = 409,083 × 409,083
  4. Step 4: Simplify right side
    263,798x = 167,348,900,889
  5. Step 5: Solve for x
    x = 167,348,900,889/263,798
  6. Step 6: Final answer
    x = 634,382.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.