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Finding the Third Proportional to 364,224 and 742,900

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Solution

The third proportional to 364,224 and 742,900 is: 1,515,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,224 : 742,900 = 742,900 : x
  2. Step 2: Convert to fraction form
    364,224/742,900 = 742,900/x
  3. Step 3: Cross multiply
    364,224x = 742,900 × 742,900
  4. Step 4: Simplify right side
    364,224x = 551,900,410,000
  5. Step 5: Solve for x
    x = 551,900,410,000/364,224
  6. Step 6: Final answer
    x = 1,515,277.44

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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.