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Finding the Third Proportional to 356,461.03 and 742,408.59

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Solution

The third proportional to 356,461.03 and 742,408.59 is: 1,546,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,461.03 : 742,408.59 = 742,408.59 : x
  2. Step 2: Convert to fraction form
    356,461.03/742,408.59 = 742,408.59/x
  3. Step 3: Cross multiply
    356,461.03x = 742,408.59 × 742,408.59
  4. Step 4: Simplify right side
    356,461.03x = 551,170,520,073.85
  5. Step 5: Solve for x
    x = 551,170,520,073.85/356,461.03
  6. Step 6: Final answer
    x = 1,546,229.38

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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.