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Finding the Third Proportional to 259,826 and 566,672

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Solution

The third proportional to 259,826 and 566,672 is: 1,235,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,826 : 566,672 = 566,672 : x
  2. Step 2: Convert to fraction form
    259,826/566,672 = 566,672/x
  3. Step 3: Cross multiply
    259,826x = 566,672 × 566,672
  4. Step 4: Simplify right side
    259,826x = 321,117,155,584
  5. Step 5: Solve for x
    x = 321,117,155,584/259,826
  6. Step 6: Final answer
    x = 1,235,893.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.