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Finding the Third Proportional to 354,530 and 532,052

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Solution

The third proportional to 354,530 and 532,052 is: 798,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,530 : 532,052 = 532,052 : x
  2. Step 2: Convert to fraction form
    354,530/532,052 = 532,052/x
  3. Step 3: Cross multiply
    354,530x = 532,052 × 532,052
  4. Step 4: Simplify right side
    354,530x = 283,079,330,704
  5. Step 5: Solve for x
    x = 283,079,330,704/354,530
  6. Step 6: Final answer
    x = 798,463.69

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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.