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Finding the Third Proportional to 363,824 and 742,444

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Solution

The third proportional to 363,824 and 742,444 is: 1,515,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,824 : 742,444 = 742,444 : x
  2. Step 2: Convert to fraction form
    363,824/742,444 = 742,444/x
  3. Step 3: Cross multiply
    363,824x = 742,444 × 742,444
  4. Step 4: Simplify right side
    363,824x = 551,223,093,136
  5. Step 5: Solve for x
    x = 551,223,093,136/363,824
  6. Step 6: Final answer
    x = 1,515,081.72

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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.