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Finding the Third Proportional to 212,906 and 464,995

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Solution

The third proportional to 212,906 and 464,995 is: 1,015,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,906 : 464,995 = 464,995 : x
  2. Step 2: Convert to fraction form
    212,906/464,995 = 464,995/x
  3. Step 3: Cross multiply
    212,906x = 464,995 × 464,995
  4. Step 4: Simplify right side
    212,906x = 216,220,350,025
  5. Step 5: Solve for x
    x = 216,220,350,025/212,906
  6. Step 6: Final answer
    x = 1,015,567.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.