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Finding the Third Proportional to 329,764.50 and 718,578

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Solution

The third proportional to 329,764.50 and 718,578 is: 1,565,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,764.50 : 718,578 = 718,578 : x
  2. Step 2: Convert to fraction form
    329,764.50/718,578 = 718,578/x
  3. Step 3: Cross multiply
    329,764.50x = 718,578 × 718,578
  4. Step 4: Simplify right side
    329,764.50x = 516,354,342,084
  5. Step 5: Solve for x
    x = 516,354,342,084/329,764.50
  6. Step 6: Final answer
    x = 1,565,827.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.