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Finding the Third Proportional to 670,713.75 and 996,958.13

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Solution

The third proportional to 670,713.75 and 996,958.13 is: 1,481,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,713.75 : 996,958.13 = 996,958.13 : x
  2. Step 2: Convert to fraction form
    670,713.75/996,958.13 = 996,958.13/x
  3. Step 3: Cross multiply
    670,713.75x = 996,958.13 × 996,958.13
  4. Step 4: Simplify right side
    670,713.75x = 993,925,503,003.52
  5. Step 5: Solve for x
    x = 993,925,503,003.52/670,713.75
  6. Step 6: Final answer
    x = 1,481,892.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.