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Finding the Third Proportional to 233,737.88 and 511,968.38

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Solution

The third proportional to 233,737.88 and 511,968.38 is: 1,121,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,737.88 : 511,968.38 = 511,968.38 : x
  2. Step 2: Convert to fraction form
    233,737.88/511,968.38 = 511,968.38/x
  3. Step 3: Cross multiply
    233,737.88x = 511,968.38 × 511,968.38
  4. Step 4: Simplify right side
    233,737.88x = 262,111,617,000.14
  5. Step 5: Solve for x
    x = 262,111,617,000.14/233,737.88
  6. Step 6: Final answer
    x = 1,121,391.29

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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.