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Finding the Third Proportional to 212,845.50 and 458,910

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Solution

The third proportional to 212,845.50 and 458,910 is: 989,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,845.50 : 458,910 = 458,910 : x
  2. Step 2: Convert to fraction form
    212,845.50/458,910 = 458,910/x
  3. Step 3: Cross multiply
    212,845.50x = 458,910 × 458,910
  4. Step 4: Simplify right side
    212,845.50x = 210,598,388,100
  5. Step 5: Solve for x
    x = 210,598,388,100/212,845.50
  6. Step 6: Final answer
    x = 989,442.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.