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Finding the Third Proportional to 340,092 and 702,216

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Solution

The third proportional to 340,092 and 702,216 is: 1,449,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,092 : 702,216 = 702,216 : x
  2. Step 2: Convert to fraction form
    340,092/702,216 = 702,216/x
  3. Step 3: Cross multiply
    340,092x = 702,216 × 702,216
  4. Step 4: Simplify right side
    340,092x = 493,107,310,656
  5. Step 5: Solve for x
    x = 493,107,310,656/340,092
  6. Step 6: Final answer
    x = 1,449,923.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.