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Finding the Third Proportional to 263,142 and 576,276

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Solution

The third proportional to 263,142 and 576,276 is: 1,262,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,142 : 576,276 = 576,276 : x
  2. Step 2: Convert to fraction form
    263,142/576,276 = 576,276/x
  3. Step 3: Cross multiply
    263,142x = 576,276 × 576,276
  4. Step 4: Simplify right side
    263,142x = 332,094,028,176
  5. Step 5: Solve for x
    x = 332,094,028,176/263,142
  6. Step 6: Final answer
    x = 1,262,033.53

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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.