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Finding the Third Proportional to 236,158 and 509,629

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Solution

The third proportional to 236,158 and 509,629 is: 1,099,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,158 : 509,629 = 509,629 : x
  2. Step 2: Convert to fraction form
    236,158/509,629 = 509,629/x
  3. Step 3: Cross multiply
    236,158x = 509,629 × 509,629
  4. Step 4: Simplify right side
    236,158x = 259,721,717,641
  5. Step 5: Solve for x
    x = 259,721,717,641/236,158
  6. Step 6: Final answer
    x = 1,099,779.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.