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Finding the Third Proportional to 326,506.50 and 504,535.88

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Solution

The third proportional to 326,506.50 and 504,535.88 is: 779,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,506.50 : 504,535.88 = 504,535.88 : x
  2. Step 2: Convert to fraction form
    326,506.50/504,535.88 = 504,535.88/x
  3. Step 3: Cross multiply
    326,506.50x = 504,535.88 × 504,535.88
  4. Step 4: Simplify right side
    326,506.50x = 254,556,449,162.02
  5. Step 5: Solve for x
    x = 254,556,449,162.02/326,506.50
  6. Step 6: Final answer
    x = 779,636.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.