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Finding the Third Proportional to 329,958,244 and 716,667,544

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Solution

The third proportional to 329,958,244 and 716,667,544 is: 1,556,598,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,958,244 : 716,667,544 = 716,667,544 : x
  2. Step 2: Convert to fraction form
    329,958,244/716,667,544 = 716,667,544/x
  3. Step 3: Cross multiply
    329,958,244x = 716,667,544 × 716,667,544
  4. Step 4: Simplify right side
    329,958,244x = 513,612,368,622,991,936
  5. Step 5: Solve for x
    x = 513,612,368,622,991,936/329,958,244
  6. Step 6: Final answer
    x = 1,556,598,078.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.