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Finding the Third Proportional to 233,427 and 512,241

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Solution

The third proportional to 233,427 and 512,241 is: 1,124,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,427 : 512,241 = 512,241 : x
  2. Step 2: Convert to fraction form
    233,427/512,241 = 512,241/x
  3. Step 3: Cross multiply
    233,427x = 512,241 × 512,241
  4. Step 4: Simplify right side
    233,427x = 262,390,842,081
  5. Step 5: Solve for x
    x = 262,390,842,081/233,427
  6. Step 6: Final answer
    x = 1,124,080.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.