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Finding the Third Proportional to 391,221 and 830,418.75

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Solution

The third proportional to 391,221 and 830,418.75 is: 1,762,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,221 : 830,418.75 = 830,418.75 : x
  2. Step 2: Convert to fraction form
    391,221/830,418.75 = 830,418.75/x
  3. Step 3: Cross multiply
    391,221x = 830,418.75 × 830,418.75
  4. Step 4: Simplify right side
    391,221x = 689,595,300,351.56
  5. Step 5: Solve for x
    x = 689,595,300,351.56/391,221
  6. Step 6: Final answer
    x = 1,762,674.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.