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Finding the Third Proportional to 263,384,788 and 578,910,648

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Solution

The third proportional to 263,384,788 and 578,910,648 is: 1,272,425,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,384,788 : 578,910,648 = 578,910,648 : x
  2. Step 2: Convert to fraction form
    263,384,788/578,910,648 = 578,910,648/x
  3. Step 3: Cross multiply
    263,384,788x = 578,910,648 × 578,910,648
  4. Step 4: Simplify right side
    263,384,788x = 335,137,538,367,779,904
  5. Step 5: Solve for x
    x = 335,137,538,367,779,904/263,384,788
  6. Step 6: Final answer
    x = 1,272,425,567.60

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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.