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Finding the Third Proportional to 233,828 and 515,320

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Solution

The third proportional to 233,828 and 515,320 is: 1,135,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,828 : 515,320 = 515,320 : x
  2. Step 2: Convert to fraction form
    233,828/515,320 = 515,320/x
  3. Step 3: Cross multiply
    233,828x = 515,320 × 515,320
  4. Step 4: Simplify right side
    233,828x = 265,554,702,400
  5. Step 5: Solve for x
    x = 265,554,702,400/233,828
  6. Step 6: Final answer
    x = 1,135,683.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.