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Finding the Third Proportional to 351,472.50 and 727,866.84

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Solution

The third proportional to 351,472.50 and 727,866.84 is: 1,507,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,472.50 : 727,866.84 = 727,866.84 : x
  2. Step 2: Convert to fraction form
    351,472.50/727,866.84 = 727,866.84/x
  3. Step 3: Cross multiply
    351,472.50x = 727,866.84 × 727,866.84
  4. Step 4: Simplify right side
    351,472.50x = 529,790,142,230.59
  5. Step 5: Solve for x
    x = 529,790,142,230.59/351,472.50
  6. Step 6: Final answer
    x = 1,507,344.51

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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.