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Finding the Third Proportional to 237,416 and 483,625

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Solution

The third proportional to 237,416 and 483,625 is: 985,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,416 : 483,625 = 483,625 : x
  2. Step 2: Convert to fraction form
    237,416/483,625 = 483,625/x
  3. Step 3: Cross multiply
    237,416x = 483,625 × 483,625
  4. Step 4: Simplify right side
    237,416x = 233,893,140,625
  5. Step 5: Solve for x
    x = 233,893,140,625/237,416
  6. Step 6: Final answer
    x = 985,161.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.