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Finding the Third Proportional to 302,396,969.25 and 659,760,714

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Solution

The third proportional to 302,396,969.25 and 659,760,714 is: 1,439,446,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,396,969.25 : 659,760,714 = 659,760,714 : x
  2. Step 2: Convert to fraction form
    302,396,969.25/659,760,714 = 659,760,714/x
  3. Step 3: Cross multiply
    302,396,969.25x = 659,760,714 × 659,760,714
  4. Step 4: Simplify right side
    302,396,969.25x = 435,284,199,737,789,824
  5. Step 5: Solve for x
    x = 435,284,199,737,789,824/302,396,969.25
  6. Step 6: Final answer
    x = 1,439,446,304.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.