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Finding the Third Proportional to 212,280 and 463,925

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Solution

The third proportional to 212,280 and 463,925 is: 1,013,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,280 : 463,925 = 463,925 : x
  2. Step 2: Convert to fraction form
    212,280/463,925 = 463,925/x
  3. Step 3: Cross multiply
    212,280x = 463,925 × 463,925
  4. Step 4: Simplify right side
    212,280x = 215,226,405,625
  5. Step 5: Solve for x
    x = 215,226,405,625/212,280
  6. Step 6: Final answer
    x = 1,013,879.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.