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Finding the Third Proportional to 263,509,033.50 and 572,380,182

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Solution

The third proportional to 263,509,033.50 and 572,380,182 is: 1,243,293,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,509,033.50 : 572,380,182 = 572,380,182 : x
  2. Step 2: Convert to fraction form
    263,509,033.50/572,380,182 = 572,380,182/x
  3. Step 3: Cross multiply
    263,509,033.50x = 572,380,182 × 572,380,182
  4. Step 4: Simplify right side
    263,509,033.50x = 327,619,072,746,353,152
  5. Step 5: Solve for x
    x = 327,619,072,746,353,152/263,509,033.50
  6. Step 6: Final answer
    x = 1,243,293,515.96

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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.