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Finding the Third Proportional to 326,180.25 and 674,734.50

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Solution

The third proportional to 326,180.25 and 674,734.50 is: 1,395,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,180.25 : 674,734.50 = 674,734.50 : x
  2. Step 2: Convert to fraction form
    326,180.25/674,734.50 = 674,734.50/x
  3. Step 3: Cross multiply
    326,180.25x = 674,734.50 × 674,734.50
  4. Step 4: Simplify right side
    326,180.25x = 455,266,645,490.25
  5. Step 5: Solve for x
    x = 455,266,645,490.25/326,180.25
  6. Step 6: Final answer
    x = 1,395,751.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.