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Finding the Third Proportional to 263,250 and 576,639

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Solution

The third proportional to 263,250 and 576,639 is: 1,263,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,250 : 576,639 = 576,639 : x
  2. Step 2: Convert to fraction form
    263,250/576,639 = 576,639/x
  3. Step 3: Cross multiply
    263,250x = 576,639 × 576,639
  4. Step 4: Simplify right side
    263,250x = 332,512,536,321
  5. Step 5: Solve for x
    x = 332,512,536,321/263,250
  6. Step 6: Final answer
    x = 1,263,105.55

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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.