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Finding the Third Proportional to 233,797.50 and 511,330.50

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Solution

The third proportional to 233,797.50 and 511,330.50 is: 1,118,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,797.50 : 511,330.50 = 511,330.50 : x
  2. Step 2: Convert to fraction form
    233,797.50/511,330.50 = 511,330.50/x
  3. Step 3: Cross multiply
    233,797.50x = 511,330.50 × 511,330.50
  4. Step 4: Simplify right side
    233,797.50x = 261,458,880,230.25
  5. Step 5: Solve for x
    x = 261,458,880,230.25/233,797.50
  6. Step 6: Final answer
    x = 1,118,313.41

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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.