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Finding the Third Proportional to 490,216.50 and 675,056.25

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Solution

The third proportional to 490,216.50 and 675,056.25 is: 929,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,216.50 : 675,056.25 = 675,056.25 : x
  2. Step 2: Convert to fraction form
    490,216.50/675,056.25 = 675,056.25/x
  3. Step 3: Cross multiply
    490,216.50x = 675,056.25 × 675,056.25
  4. Step 4: Simplify right side
    490,216.50x = 455,700,940,664.06
  5. Step 5: Solve for x
    x = 455,700,940,664.06/490,216.50
  6. Step 6: Final answer
    x = 929,591.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.