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Finding the Third Proportional to 218,833 and 471,141

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Solution

The third proportional to 218,833 and 471,141 is: 1,014,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,833 : 471,141 = 471,141 : x
  2. Step 2: Convert to fraction form
    218,833/471,141 = 471,141/x
  3. Step 3: Cross multiply
    218,833x = 471,141 × 471,141
  4. Step 4: Simplify right side
    218,833x = 221,973,841,881
  5. Step 5: Solve for x
    x = 221,973,841,881/218,833
  6. Step 6: Final answer
    x = 1,014,352.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.