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Finding the Third Proportional to 233,205 and 515,414

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Solution

The third proportional to 233,205 and 515,414 is: 1,139,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,205 : 515,414 = 515,414 : x
  2. Step 2: Convert to fraction form
    233,205/515,414 = 515,414/x
  3. Step 3: Cross multiply
    233,205x = 515,414 × 515,414
  4. Step 4: Simplify right side
    233,205x = 265,651,591,396
  5. Step 5: Solve for x
    x = 265,651,591,396/233,205
  6. Step 6: Final answer
    x = 1,139,133.34

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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.