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Finding the Third Proportional to 273,021,081.75 and 589,676,604.75

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Solution

The third proportional to 273,021,081.75 and 589,676,604.75 is: 1,273,595,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,021,081.75 : 589,676,604.75 = 589,676,604.75 : x
  2. Step 2: Convert to fraction form
    273,021,081.75/589,676,604.75 = 589,676,604.75/x
  3. Step 3: Cross multiply
    273,021,081.75x = 589,676,604.75 × 589,676,604.75
  4. Step 4: Simplify right side
    273,021,081.75x = 347,718,498,189,487,744
  5. Step 5: Solve for x
    x = 347,718,498,189,487,744/273,021,081.75
  6. Step 6: Final answer
    x = 1,273,595,782.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.