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Finding the Third Proportional to 326,716.50 and 490,054.50

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Solution

The third proportional to 326,716.50 and 490,054.50 is: 735,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,716.50 : 490,054.50 = 490,054.50 : x
  2. Step 2: Convert to fraction form
    326,716.50/490,054.50 = 490,054.50/x
  3. Step 3: Cross multiply
    326,716.50x = 490,054.50 × 490,054.50
  4. Step 4: Simplify right side
    326,716.50x = 240,153,412,970.25
  5. Step 5: Solve for x
    x = 240,153,412,970.25/326,716.50
  6. Step 6: Final answer
    x = 735,051.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.