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Finding the Third Proportional to 364,184 and 742,824

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Solution

The third proportional to 364,184 and 742,824 is: 1,515,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,184 : 742,824 = 742,824 : x
  2. Step 2: Convert to fraction form
    364,184/742,824 = 742,824/x
  3. Step 3: Cross multiply
    364,184x = 742,824 × 742,824
  4. Step 4: Simplify right side
    364,184x = 551,787,494,976
  5. Step 5: Solve for x
    x = 551,787,494,976/364,184
  6. Step 6: Final answer
    x = 1,515,133.82

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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.