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Finding the Third Proportional to 596,344.50 and 1,192,203

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Solution

The third proportional to 596,344.50 and 1,192,203 is: 2,383,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,344.50 : 1,192,203 = 1,192,203 : x
  2. Step 2: Convert to fraction form
    596,344.50/1,192,203 = 1,192,203/x
  3. Step 3: Cross multiply
    596,344.50x = 1,192,203 × 1,192,203
  4. Step 4: Simplify right side
    596,344.50x = 1,421,347,993,209
  5. Step 5: Solve for x
    x = 1,421,347,993,209/596,344.50
  6. Step 6: Final answer
    x = 2,383,434.40

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.