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Finding the Third Proportional to 364,212 and 742,869

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Solution

The third proportional to 364,212 and 742,869 is: 1,515,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,212 : 742,869 = 742,869 : x
  2. Step 2: Convert to fraction form
    364,212/742,869 = 742,869/x
  3. Step 3: Cross multiply
    364,212x = 742,869 × 742,869
  4. Step 4: Simplify right side
    364,212x = 551,854,351,161
  5. Step 5: Solve for x
    x = 551,854,351,161/364,212
  6. Step 6: Final answer
    x = 1,515,200.90

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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.