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Finding the Third Proportional to 329,170.50 and 718,659

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Solution

The third proportional to 329,170.50 and 718,659 is: 1,569,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,170.50 : 718,659 = 718,659 : x
  2. Step 2: Convert to fraction form
    329,170.50/718,659 = 718,659/x
  3. Step 3: Cross multiply
    329,170.50x = 718,659 × 718,659
  4. Step 4: Simplify right side
    329,170.50x = 516,470,758,281
  5. Step 5: Solve for x
    x = 516,470,758,281/329,170.50
  6. Step 6: Final answer
    x = 1,569,006.82

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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.