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Finding the Third Proportional to 423,288 and 576,436

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Solution

The third proportional to 423,288 and 576,436 is: 784,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,288 : 576,436 = 576,436 : x
  2. Step 2: Convert to fraction form
    423,288/576,436 = 576,436/x
  3. Step 3: Cross multiply
    423,288x = 576,436 × 576,436
  4. Step 4: Simplify right side
    423,288x = 332,278,462,096
  5. Step 5: Solve for x
    x = 332,278,462,096/423,288
  6. Step 6: Final answer
    x = 784,993.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.