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Finding the Third Proportional to 326,560.50 and 504,403.50

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Solution

The third proportional to 326,560.50 and 504,403.50 is: 779,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,560.50 : 504,403.50 = 504,403.50 : x
  2. Step 2: Convert to fraction form
    326,560.50/504,403.50 = 504,403.50/x
  3. Step 3: Cross multiply
    326,560.50x = 504,403.50 × 504,403.50
  4. Step 4: Simplify right side
    326,560.50x = 254,422,890,812.25
  5. Step 5: Solve for x
    x = 254,422,890,812.25/326,560.50
  6. Step 6: Final answer
    x = 779,098.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.