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Finding the Third Proportional to 252,269.63 and 389,558.63

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Solution

The third proportional to 252,269.63 and 389,558.63 is: 601,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,269.63 : 389,558.63 = 389,558.63 : x
  2. Step 2: Convert to fraction form
    252,269.63/389,558.63 = 389,558.63/x
  3. Step 3: Cross multiply
    252,269.63x = 389,558.63 × 389,558.63
  4. Step 4: Simplify right side
    252,269.63x = 151,755,922,311.89
  5. Step 5: Solve for x
    x = 151,755,922,311.89/252,269.63
  6. Step 6: Final answer
    x = 601,562.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.