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Finding the Third Proportional to 364,226 and 742,904

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Solution

The third proportional to 364,226 and 742,904 is: 1,515,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,226 : 742,904 = 742,904 : x
  2. Step 2: Convert to fraction form
    364,226/742,904 = 742,904/x
  3. Step 3: Cross multiply
    364,226x = 742,904 × 742,904
  4. Step 4: Simplify right side
    364,226x = 551,906,353,216
  5. Step 5: Solve for x
    x = 551,906,353,216/364,226
  6. Step 6: Final answer
    x = 1,515,285.44

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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.