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Finding the Third Proportional to 263,509,052 and 572,380,238

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Solution

The third proportional to 263,509,052 and 572,380,238 is: 1,243,293,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,509,052 : 572,380,238 = 572,380,238 : x
  2. Step 2: Convert to fraction form
    263,509,052/572,380,238 = 572,380,238/x
  3. Step 3: Cross multiply
    263,509,052x = 572,380,238 × 572,380,238
  4. Step 4: Simplify right side
    263,509,052x = 327,619,136,852,936,640
  5. Step 5: Solve for x
    x = 327,619,136,852,936,640/263,509,052
  6. Step 6: Final answer
    x = 1,243,293,671.95

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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.