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Finding the Third Proportional to 329,715 and 718,476.75

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Solution

The third proportional to 329,715 and 718,476.75 is: 1,565,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,715 : 718,476.75 = 718,476.75 : x
  2. Step 2: Convert to fraction form
    329,715/718,476.75 = 718,476.75/x
  3. Step 3: Cross multiply
    329,715x = 718,476.75 × 718,476.75
  4. Step 4: Simplify right side
    329,715x = 516,208,840,290.56
  5. Step 5: Solve for x
    x = 516,208,840,290.56/329,715
  6. Step 6: Final answer
    x = 1,565,621.34

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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.