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Finding the Third Proportional to 263,132 and 576,341

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Solution

The third proportional to 263,132 and 576,341 is: 1,262,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,132 : 576,341 = 576,341 : x
  2. Step 2: Convert to fraction form
    263,132/576,341 = 576,341/x
  3. Step 3: Cross multiply
    263,132x = 576,341 × 576,341
  4. Step 4: Simplify right side
    263,132x = 332,168,948,281
  5. Step 5: Solve for x
    x = 332,168,948,281/263,132
  6. Step 6: Final answer
    x = 1,262,366.22

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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.