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Finding the Third Proportional to 253,859.63 and 540,319.50

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Solution

The third proportional to 253,859.63 and 540,319.50 is: 1,150,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,859.63 : 540,319.50 = 540,319.50 : x
  2. Step 2: Convert to fraction form
    253,859.63/540,319.50 = 540,319.50/x
  3. Step 3: Cross multiply
    253,859.63x = 540,319.50 × 540,319.50
  4. Step 4: Simplify right side
    253,859.63x = 291,945,162,080.25
  5. Step 5: Solve for x
    x = 291,945,162,080.25/253,859.63
  6. Step 6: Final answer
    x = 1,150,025.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.