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Finding the Third Proportional to 257,892.19 and 566,838

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Solution

The third proportional to 257,892.19 and 566,838 is: 1,245,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,892.19 : 566,838 = 566,838 : x
  2. Step 2: Convert to fraction form
    257,892.19/566,838 = 566,838/x
  3. Step 3: Cross multiply
    257,892.19x = 566,838 × 566,838
  4. Step 4: Simplify right side
    257,892.19x = 321,305,318,244
  5. Step 5: Solve for x
    x = 321,305,318,244/257,892.19
  6. Step 6: Final answer
    x = 1,245,890.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.