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Finding the Third Proportional to 263,509,625 and 572,381,500

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Solution

The third proportional to 263,509,625 and 572,381,500 is: 1,243,296,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,509,625 : 572,381,500 = 572,381,500 : x
  2. Step 2: Convert to fraction form
    263,509,625/572,381,500 = 572,381,500/x
  3. Step 3: Cross multiply
    263,509,625x = 572,381,500 × 572,381,500
  4. Step 4: Simplify right side
    263,509,625x = 327,620,581,542,249,984
  5. Step 5: Solve for x
    x = 327,620,581,542,249,984/263,509,625
  6. Step 6: Final answer
    x = 1,243,296,450.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.