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Finding the Third Proportional to 351,474.50 and 727,870.50

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Solution

The third proportional to 351,474.50 and 727,870.50 is: 1,507,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,474.50 : 727,870.50 = 727,870.50 : x
  2. Step 2: Convert to fraction form
    351,474.50/727,870.50 = 727,870.50/x
  3. Step 3: Cross multiply
    351,474.50x = 727,870.50 × 727,870.50
  4. Step 4: Simplify right side
    351,474.50x = 529,795,464,770.25
  5. Step 5: Solve for x
    x = 529,795,464,770.25/351,474.50
  6. Step 6: Final answer
    x = 1,507,351.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.