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Finding the Third Proportional to 345,259,506.94 and 739,765,879.69

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Solution

The third proportional to 345,259,506.94 and 739,765,879.69 is: 1,585,049,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,259,506.94 : 739,765,879.69 = 739,765,879.69 : x
  2. Step 2: Convert to fraction form
    345,259,506.94/739,765,879.69 = 739,765,879.69/x
  3. Step 3: Cross multiply
    345,259,506.94x = 739,765,879.69 × 739,765,879.69
  4. Step 4: Simplify right side
    345,259,506.94x = 547,253,556,749,820,736
  5. Step 5: Solve for x
    x = 547,253,556,749,820,736/345,259,506.94
  6. Step 6: Final answer
    x = 1,585,049,928.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.