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Finding the Third Proportional to 215,608 and 464,912

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Solution

The third proportional to 215,608 and 464,912 is: 1,002,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,608 : 464,912 = 464,912 : x
  2. Step 2: Convert to fraction form
    215,608/464,912 = 464,912/x
  3. Step 3: Cross multiply
    215,608x = 464,912 × 464,912
  4. Step 4: Simplify right side
    215,608x = 216,143,167,744
  5. Step 5: Solve for x
    x = 216,143,167,744/215,608
  6. Step 6: Final answer
    x = 1,002,482.13

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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.