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Finding the Third Proportional to 329,517 and 713,982

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Solution

The third proportional to 329,517 and 713,982 is: 1,547,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,517 : 713,982 = 713,982 : x
  2. Step 2: Convert to fraction form
    329,517/713,982 = 713,982/x
  3. Step 3: Cross multiply
    329,517x = 713,982 × 713,982
  4. Step 4: Simplify right side
    329,517x = 509,770,296,324
  5. Step 5: Solve for x
    x = 509,770,296,324/329,517
  6. Step 6: Final answer
    x = 1,547,022.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.