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Finding the Third Proportional to 362,692 and 509,844

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Solution

The third proportional to 362,692 and 509,844 is: 716,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,692 : 509,844 = 509,844 : x
  2. Step 2: Convert to fraction form
    362,692/509,844 = 509,844/x
  3. Step 3: Cross multiply
    362,692x = 509,844 × 509,844
  4. Step 4: Simplify right side
    362,692x = 259,940,904,336
  5. Step 5: Solve for x
    x = 259,940,904,336/362,692
  6. Step 6: Final answer
    x = 716,698.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.