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Finding the Third Proportional to 329,520 and 719,181.75

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Solution

The third proportional to 329,520 and 719,181.75 is: 1,569,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,520 : 719,181.75 = 719,181.75 : x
  2. Step 2: Convert to fraction form
    329,520/719,181.75 = 719,181.75/x
  3. Step 3: Cross multiply
    329,520x = 719,181.75 × 719,181.75
  4. Step 4: Simplify right side
    329,520x = 517,222,389,533.06
  5. Step 5: Solve for x
    x = 517,222,389,533.06/329,520
  6. Step 6: Final answer
    x = 1,569,623.66

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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.