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Finding the Third Proportional to 329,294,709 and 650,261,322

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Solution

The third proportional to 329,294,709 and 650,261,322 is: 1,284,077,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,294,709 : 650,261,322 = 650,261,322 : x
  2. Step 2: Convert to fraction form
    329,294,709/650,261,322 = 650,261,322/x
  3. Step 3: Cross multiply
    329,294,709x = 650,261,322 × 650,261,322
  4. Step 4: Simplify right side
    329,294,709x = 422,839,786,889,187,712
  5. Step 5: Solve for x
    x = 422,839,786,889,187,712/329,294,709
  6. Step 6: Final answer
    x = 1,284,077,075.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.