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Finding the Third Proportional to 237,021.50 and 440,416

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Solution

The third proportional to 237,021.50 and 440,416 is: 818,348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,021.50 : 440,416 = 440,416 : x
  2. Step 2: Convert to fraction form
    237,021.50/440,416 = 440,416/x
  3. Step 3: Cross multiply
    237,021.50x = 440,416 × 440,416
  4. Step 4: Simplify right side
    237,021.50x = 193,966,253,056
  5. Step 5: Solve for x
    x = 193,966,253,056/237,021.50
  6. Step 6: Final answer
    x = 818,348.77

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.