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Finding the Third Proportional to 233,203 and 515,411

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Solution

The third proportional to 233,203 and 515,411 is: 1,139,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,203 : 515,411 = 515,411 : x
  2. Step 2: Convert to fraction form
    233,203/515,411 = 515,411/x
  3. Step 3: Cross multiply
    233,203x = 515,411 × 515,411
  4. Step 4: Simplify right side
    233,203x = 265,648,498,921
  5. Step 5: Solve for x
    x = 265,648,498,921/233,203
  6. Step 6: Final answer
    x = 1,139,129.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.