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Finding the Third Proportional to 362,320 and 852,524

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Solution

The third proportional to 362,320 and 852,524 is: 2,005,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,320 : 852,524 = 852,524 : x
  2. Step 2: Convert to fraction form
    362,320/852,524 = 852,524/x
  3. Step 3: Cross multiply
    362,320x = 852,524 × 852,524
  4. Step 4: Simplify right side
    362,320x = 726,797,170,576
  5. Step 5: Solve for x
    x = 726,797,170,576/362,320
  6. Step 6: Final answer
    x = 2,005,953.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.