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Finding the Third Proportional to 263,930,200 and 579,887,671

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Solution

The third proportional to 263,930,200 and 579,887,671 is: 1,274,085,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,930,200 : 579,887,671 = 579,887,671 : x
  2. Step 2: Convert to fraction form
    263,930,200/579,887,671 = 579,887,671/x
  3. Step 3: Cross multiply
    263,930,200x = 579,887,671 × 579,887,671
  4. Step 4: Simplify right side
    263,930,200x = 336,269,710,977,804,224
  5. Step 5: Solve for x
    x = 336,269,710,977,804,224/263,930,200
  6. Step 6: Final answer
    x = 1,274,085,765.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.