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Finding the Third Proportional to 326,824.88 and 707,920.31

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Solution

The third proportional to 326,824.88 and 707,920.31 is: 1,533,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,824.88 : 707,920.31 = 707,920.31 : x
  2. Step 2: Convert to fraction form
    326,824.88/707,920.31 = 707,920.31/x
  3. Step 3: Cross multiply
    326,824.88x = 707,920.31 × 707,920.31
  4. Step 4: Simplify right side
    326,824.88x = 501,151,168,850.10
  5. Step 5: Solve for x
    x = 501,151,168,850.10/326,824.88
  6. Step 6: Final answer
    x = 1,533,393.59

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