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Finding the Third Proportional to 300,890,511 and 655,197,930

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Solution

The third proportional to 300,890,511 and 655,197,930 is: 1,426,712,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,890,511 : 655,197,930 = 655,197,930 : x
  2. Step 2: Convert to fraction form
    300,890,511/655,197,930 = 655,197,930/x
  3. Step 3: Cross multiply
    300,890,511x = 655,197,930 × 655,197,930
  4. Step 4: Simplify right side
    300,890,511x = 429,284,327,476,284,928
  5. Step 5: Solve for x
    x = 429,284,327,476,284,928/300,890,511
  6. Step 6: Final answer
    x = 1,426,712,746.94

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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.