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Finding the Third Proportional to 233,922 and 551,838

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Solution

The third proportional to 233,922 and 551,838 is: 1,301,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,922 : 551,838 = 551,838 : x
  2. Step 2: Convert to fraction form
    233,922/551,838 = 551,838/x
  3. Step 3: Cross multiply
    233,922x = 551,838 × 551,838
  4. Step 4: Simplify right side
    233,922x = 304,525,178,244
  5. Step 5: Solve for x
    x = 304,525,178,244/233,922
  6. Step 6: Final answer
    x = 1,301,823.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.