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Finding the Third Proportional to 364,185 and 742,826

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Solution

The third proportional to 364,185 and 742,826 is: 1,515,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,185 : 742,826 = 742,826 : x
  2. Step 2: Convert to fraction form
    364,185/742,826 = 742,826/x
  3. Step 3: Cross multiply
    364,185x = 742,826 × 742,826
  4. Step 4: Simplify right side
    364,185x = 551,790,466,276
  5. Step 5: Solve for x
    x = 551,790,466,276/364,185
  6. Step 6: Final answer
    x = 1,515,137.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.