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Finding the Third Proportional to 213,832 and 464,090

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Solution

The third proportional to 213,832 and 464,090 is: 1,007,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,832 : 464,090 = 464,090 : x
  2. Step 2: Convert to fraction form
    213,832/464,090 = 464,090/x
  3. Step 3: Cross multiply
    213,832x = 464,090 × 464,090
  4. Step 4: Simplify right side
    213,832x = 215,379,528,100
  5. Step 5: Solve for x
    x = 215,379,528,100/213,832
  6. Step 6: Final answer
    x = 1,007,237.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.