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Finding the Third Proportional to 326,809.69 and 707,904.56

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Solution

The third proportional to 326,809.69 and 707,904.56 is: 1,533,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,809.69 : 707,904.56 = 707,904.56 : x
  2. Step 2: Convert to fraction form
    326,809.69/707,904.56 = 707,904.56/x
  3. Step 3: Cross multiply
    326,809.69x = 707,904.56 × 707,904.56
  4. Step 4: Simplify right side
    326,809.69x = 501,128,869,608.32
  5. Step 5: Solve for x
    x = 501,128,869,608.32/326,809.69
  6. Step 6: Final answer
    x = 1,533,396.62

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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.