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Finding the Third Proportional to 215,643 and 467,937

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Solution

The third proportional to 215,643 and 467,937 is: 1,015,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,643 : 467,937 = 467,937 : x
  2. Step 2: Convert to fraction form
    215,643/467,937 = 467,937/x
  3. Step 3: Cross multiply
    215,643x = 467,937 × 467,937
  4. Step 4: Simplify right side
    215,643x = 218,965,035,969
  5. Step 5: Solve for x
    x = 218,965,035,969/215,643
  6. Step 6: Final answer
    x = 1,015,405.26

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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.