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Finding the Third Proportional to 514,086.75 and 753,563.25

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Solution

The third proportional to 514,086.75 and 753,563.25 is: 1,104,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,086.75 : 753,563.25 = 753,563.25 : x
  2. Step 2: Convert to fraction form
    514,086.75/753,563.25 = 753,563.25/x
  3. Step 3: Cross multiply
    514,086.75x = 753,563.25 × 753,563.25
  4. Step 4: Simplify right side
    514,086.75x = 567,857,571,750.56
  5. Step 5: Solve for x
    x = 567,857,571,750.56/514,086.75
  6. Step 6: Final answer
    x = 1,104,594.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.