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Finding the Third Proportional to 362,472 and 852,826

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Solution

The third proportional to 362,472 and 852,826 is: 2,006,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,472 : 852,826 = 852,826 : x
  2. Step 2: Convert to fraction form
    362,472/852,826 = 852,826/x
  3. Step 3: Cross multiply
    362,472x = 852,826 × 852,826
  4. Step 4: Simplify right side
    362,472x = 727,312,186,276
  5. Step 5: Solve for x
    x = 727,312,186,276/362,472
  6. Step 6: Final answer
    x = 2,006,533.43

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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.