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Finding the Third Proportional to 233,281.13 and 511,760.25

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Solution

The third proportional to 233,281.13 and 511,760.25 is: 1,122,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,281.13 : 511,760.25 = 511,760.25 : x
  2. Step 2: Convert to fraction form
    233,281.13/511,760.25 = 511,760.25/x
  3. Step 3: Cross multiply
    233,281.13x = 511,760.25 × 511,760.25
  4. Step 4: Simplify right side
    233,281.13x = 261,898,553,480.06
  5. Step 5: Solve for x
    x = 261,898,553,480.06/233,281.13
  6. Step 6: Final answer
    x = 1,122,673.57

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