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Finding the Third Proportional to 233,283 and 511,765

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Solution

The third proportional to 233,283 and 511,765 is: 1,122,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,283 : 511,765 = 511,765 : x
  2. Step 2: Convert to fraction form
    233,283/511,765 = 511,765/x
  3. Step 3: Cross multiply
    233,283x = 511,765 × 511,765
  4. Step 4: Simplify right side
    233,283x = 261,903,415,225
  5. Step 5: Solve for x
    x = 261,903,415,225/233,283
  6. Step 6: Final answer
    x = 1,122,685.39

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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.