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Finding the Third Proportional to 362,520 and 795,072

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Solution

The third proportional to 362,520 and 795,072 is: 1,743,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,520 : 795,072 = 795,072 : x
  2. Step 2: Convert to fraction form
    362,520/795,072 = 795,072/x
  3. Step 3: Cross multiply
    362,520x = 795,072 × 795,072
  4. Step 4: Simplify right side
    362,520x = 632,139,485,184
  5. Step 5: Solve for x
    x = 632,139,485,184/362,520
  6. Step 6: Final answer
    x = 1,743,736.86

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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.