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Finding the Third Proportional to 340,198 and 713,200

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Solution

The third proportional to 340,198 and 713,200 is: 1,495,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,198 : 713,200 = 713,200 : x
  2. Step 2: Convert to fraction form
    340,198/713,200 = 713,200/x
  3. Step 3: Cross multiply
    340,198x = 713,200 × 713,200
  4. Step 4: Simplify right side
    340,198x = 508,654,240,000
  5. Step 5: Solve for x
    x = 508,654,240,000/340,198
  6. Step 6: Final answer
    x = 1,495,171.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.