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Finding the Third Proportional to 326,160 and 718,537.50

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Solution

The third proportional to 326,160 and 718,537.50 is: 1,582,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,160 : 718,537.50 = 718,537.50 : x
  2. Step 2: Convert to fraction form
    326,160/718,537.50 = 718,537.50/x
  3. Step 3: Cross multiply
    326,160x = 718,537.50 × 718,537.50
  4. Step 4: Simplify right side
    326,160x = 516,296,138,906.25
  5. Step 5: Solve for x
    x = 516,296,138,906.25/326,160
  6. Step 6: Final answer
    x = 1,582,953.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.