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Finding the Third Proportional to 264,101,692 and 579,221,704

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Solution

The third proportional to 264,101,692 and 579,221,704 is: 1,270,335,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,101,692 : 579,221,704 = 579,221,704 : x
  2. Step 2: Convert to fraction form
    264,101,692/579,221,704 = 579,221,704/x
  3. Step 3: Cross multiply
    264,101,692x = 579,221,704 × 579,221,704
  4. Step 4: Simplify right side
    264,101,692x = 335,497,782,384,663,616
  5. Step 5: Solve for x
    x = 335,497,782,384,663,616/264,101,692
  6. Step 6: Final answer
    x = 1,270,335,603.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.