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Finding the Third Proportional to 233,331 and 511,858.50

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Solution

The third proportional to 233,331 and 511,858.50 is: 1,122,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,331 : 511,858.50 = 511,858.50 : x
  2. Step 2: Convert to fraction form
    233,331/511,858.50 = 511,858.50/x
  3. Step 3: Cross multiply
    233,331x = 511,858.50 × 511,858.50
  4. Step 4: Simplify right side
    233,331x = 261,999,124,022.25
  5. Step 5: Solve for x
    x = 261,999,124,022.25/233,331
  6. Step 6: Final answer
    x = 1,122,864.62

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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.