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Finding the Third Proportional to 262,784 and 576,436

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Solution

The third proportional to 262,784 and 576,436 is: 1,264,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,784 : 576,436 = 576,436 : x
  2. Step 2: Convert to fraction form
    262,784/576,436 = 576,436/x
  3. Step 3: Cross multiply
    262,784x = 576,436 × 576,436
  4. Step 4: Simplify right side
    262,784x = 332,278,462,096
  5. Step 5: Solve for x
    x = 332,278,462,096/262,784
  6. Step 6: Final answer
    x = 1,264,454.69

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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.