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Finding the Third Proportional to 233,628 and 511,484

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Solution

The third proportional to 233,628 and 511,484 is: 1,119,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,628 : 511,484 = 511,484 : x
  2. Step 2: Convert to fraction form
    233,628/511,484 = 511,484/x
  3. Step 3: Cross multiply
    233,628x = 511,484 × 511,484
  4. Step 4: Simplify right side
    233,628x = 261,615,882,256
  5. Step 5: Solve for x
    x = 261,615,882,256/233,628
  6. Step 6: Final answer
    x = 1,119,796.78

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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.