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Finding the Third Proportional to 439,969.50 and 788,449.50

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Solution

The third proportional to 439,969.50 and 788,449.50 is: 1,412,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,969.50 : 788,449.50 = 788,449.50 : x
  2. Step 2: Convert to fraction form
    439,969.50/788,449.50 = 788,449.50/x
  3. Step 3: Cross multiply
    439,969.50x = 788,449.50 × 788,449.50
  4. Step 4: Simplify right side
    439,969.50x = 621,652,614,050.25
  5. Step 5: Solve for x
    x = 621,652,614,050.25/439,969.50
  6. Step 6: Final answer
    x = 1,412,944.79

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.