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Finding the Third Proportional to 452,086.50 and 619,902

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Solution

The third proportional to 452,086.50 and 619,902 is: 850,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,086.50 : 619,902 = 619,902 : x
  2. Step 2: Convert to fraction form
    452,086.50/619,902 = 619,902/x
  3. Step 3: Cross multiply
    452,086.50x = 619,902 × 619,902
  4. Step 4: Simplify right side
    452,086.50x = 384,278,489,604
  5. Step 5: Solve for x
    x = 384,278,489,604/452,086.50
  6. Step 6: Final answer
    x = 850,010.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.