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Finding the Third Proportional to 326,561.63 and 494,763.19

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Solution

The third proportional to 326,561.63 and 494,763.19 is: 749,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,561.63 : 494,763.19 = 494,763.19 : x
  2. Step 2: Convert to fraction form
    326,561.63/494,763.19 = 494,763.19/x
  3. Step 3: Cross multiply
    326,561.63x = 494,763.19 × 494,763.19
  4. Step 4: Simplify right side
    326,561.63x = 244,790,611,705.16
  5. Step 5: Solve for x
    x = 244,790,611,705.16/326,561.63
  6. Step 6: Final answer
    x = 749,600.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.