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Finding the Third Proportional to 356,461.22 and 742,408.97

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Solution

The third proportional to 356,461.22 and 742,408.97 is: 1,546,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,461.22 : 742,408.97 = 742,408.97 : x
  2. Step 2: Convert to fraction form
    356,461.22/742,408.97 = 742,408.97/x
  3. Step 3: Cross multiply
    356,461.22x = 742,408.97 × 742,408.97
  4. Step 4: Simplify right side
    356,461.22x = 551,171,076,880.44
  5. Step 5: Solve for x
    x = 551,171,076,880.44/356,461.22
  6. Step 6: Final answer
    x = 1,546,230.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.