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Finding the Third Proportional to 326,832 and 490,083

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Solution

The third proportional to 326,832 and 490,083 is: 734,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,832 : 490,083 = 490,083 : x
  2. Step 2: Convert to fraction form
    326,832/490,083 = 490,083/x
  3. Step 3: Cross multiply
    326,832x = 490,083 × 490,083
  4. Step 4: Simplify right side
    326,832x = 240,181,346,889
  5. Step 5: Solve for x
    x = 240,181,346,889/326,832
  6. Step 6: Final answer
    x = 734,877.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.