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Finding the Third Proportional to 229,579 and 536,104

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Solution

The third proportional to 229,579 and 536,104 is: 1,251,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,579 : 536,104 = 536,104 : x
  2. Step 2: Convert to fraction form
    229,579/536,104 = 536,104/x
  3. Step 3: Cross multiply
    229,579x = 536,104 × 536,104
  4. Step 4: Simplify right side
    229,579x = 287,407,498,816
  5. Step 5: Solve for x
    x = 287,407,498,816/229,579
  6. Step 6: Final answer
    x = 1,251,889.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.