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Finding the Third Proportional to 383,218.50 and 791,037

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Solution

The third proportional to 383,218.50 and 791,037 is: 1,632,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,218.50 : 791,037 = 791,037 : x
  2. Step 2: Convert to fraction form
    383,218.50/791,037 = 791,037/x
  3. Step 3: Cross multiply
    383,218.50x = 791,037 × 791,037
  4. Step 4: Simplify right side
    383,218.50x = 625,739,535,369
  5. Step 5: Solve for x
    x = 625,739,535,369/383,218.50
  6. Step 6: Final answer
    x = 1,632,853.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.