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Finding the Third Proportional to 262,783 and 576,434

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Solution

The third proportional to 262,783 and 576,434 is: 1,264,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,783 : 576,434 = 576,434 : x
  2. Step 2: Convert to fraction form
    262,783/576,434 = 576,434/x
  3. Step 3: Cross multiply
    262,783x = 576,434 × 576,434
  4. Step 4: Simplify right side
    262,783x = 332,276,156,356
  5. Step 5: Solve for x
    x = 332,276,156,356/262,783
  6. Step 6: Final answer
    x = 1,264,450.73

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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.