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Finding the Third Proportional to 263,514 and 576,236

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Solution

The third proportional to 263,514 and 576,236 is: 1,260,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,514 : 576,236 = 576,236 : x
  2. Step 2: Convert to fraction form
    263,514/576,236 = 576,236/x
  3. Step 3: Cross multiply
    263,514x = 576,236 × 576,236
  4. Step 4: Simplify right side
    263,514x = 332,047,927,696
  5. Step 5: Solve for x
    x = 332,047,927,696/263,514
  6. Step 6: Final answer
    x = 1,260,076.99

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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.