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Finding the Third Proportional to 320,600.50 and 705,191

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Solution

The third proportional to 320,600.50 and 705,191 is: 1,551,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,600.50 : 705,191 = 705,191 : x
  2. Step 2: Convert to fraction form
    320,600.50/705,191 = 705,191/x
  3. Step 3: Cross multiply
    320,600.50x = 705,191 × 705,191
  4. Step 4: Simplify right side
    320,600.50x = 497,294,346,481
  5. Step 5: Solve for x
    x = 497,294,346,481/320,600.50
  6. Step 6: Final answer
    x = 1,551,134.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.