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Finding the Third Proportional to 262,776 and 576,419

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Solution

The third proportional to 262,776 and 576,419 is: 1,264,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,776 : 576,419 = 576,419 : x
  2. Step 2: Convert to fraction form
    262,776/576,419 = 576,419/x
  3. Step 3: Cross multiply
    262,776x = 576,419 × 576,419
  4. Step 4: Simplify right side
    262,776x = 332,258,863,561
  5. Step 5: Solve for x
    x = 332,258,863,561/262,776
  6. Step 6: Final answer
    x = 1,264,418.61

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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.