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Finding the Third Proportional to 326,932.50 and 439,346.25

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Solution

The third proportional to 326,932.50 and 439,346.25 is: 590,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,932.50 : 439,346.25 = 439,346.25 : x
  2. Step 2: Convert to fraction form
    326,932.50/439,346.25 = 439,346.25/x
  3. Step 3: Cross multiply
    326,932.50x = 439,346.25 × 439,346.25
  4. Step 4: Simplify right side
    326,932.50x = 193,025,127,389.06
  5. Step 5: Solve for x
    x = 193,025,127,389.06/326,932.50
  6. Step 6: Final answer
    x = 590,412.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.