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Finding the Third Proportional to 326,005.25 and 706,273.75

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Solution

The third proportional to 326,005.25 and 706,273.75 is: 1,530,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,005.25 : 706,273.75 = 706,273.75 : x
  2. Step 2: Convert to fraction form
    326,005.25/706,273.75 = 706,273.75/x
  3. Step 3: Cross multiply
    326,005.25x = 706,273.75 × 706,273.75
  4. Step 4: Simplify right side
    326,005.25x = 498,822,609,939.06
  5. Step 5: Solve for x
    x = 498,822,609,939.06/326,005.25
  6. Step 6: Final answer
    x = 1,530,106.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.