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Finding the Third Proportional to 398,216.25 and 510,846.75

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Solution

The third proportional to 398,216.25 and 510,846.75 is: 655,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,216.25 : 510,846.75 = 510,846.75 : x
  2. Step 2: Convert to fraction form
    398,216.25/510,846.75 = 510,846.75/x
  3. Step 3: Cross multiply
    398,216.25x = 510,846.75 × 510,846.75
  4. Step 4: Simplify right side
    398,216.25x = 260,964,401,985.56
  5. Step 5: Solve for x
    x = 260,964,401,985.56/398,216.25
  6. Step 6: Final answer
    x = 655,333.38

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.