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Finding the Third Proportional to 326,234.25 and 716,298.75

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Solution

The third proportional to 326,234.25 and 716,298.75 is: 1,572,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,234.25 : 716,298.75 = 716,298.75 : x
  2. Step 2: Convert to fraction form
    326,234.25/716,298.75 = 716,298.75/x
  3. Step 3: Cross multiply
    326,234.25x = 716,298.75 × 716,298.75
  4. Step 4: Simplify right side
    326,234.25x = 513,083,899,251.56
  5. Step 5: Solve for x
    x = 513,083,899,251.56/326,234.25
  6. Step 6: Final answer
    x = 1,572,746.88

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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.