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Finding the Third Proportional to 265,411,067.25 and 398,116,638

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Solution

The third proportional to 265,411,067.25 and 398,116,638 is: 597,175,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,411,067.25 : 398,116,638 = 398,116,638 : x
  2. Step 2: Convert to fraction form
    265,411,067.25/398,116,638 = 398,116,638/x
  3. Step 3: Cross multiply
    265,411,067.25x = 398,116,638 × 398,116,638
  4. Step 4: Simplify right side
    265,411,067.25x = 158,496,857,452,423,040
  5. Step 5: Solve for x
    x = 158,496,857,452,423,040/265,411,067.25
  6. Step 6: Final answer
    x = 597,175,012.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.