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Finding the Third Proportional to 349,306 and 713,268

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Solution

The third proportional to 349,306 and 713,268 is: 1,456,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,306 : 713,268 = 713,268 : x
  2. Step 2: Convert to fraction form
    349,306/713,268 = 713,268/x
  3. Step 3: Cross multiply
    349,306x = 713,268 × 713,268
  4. Step 4: Simplify right side
    349,306x = 508,751,239,824
  5. Step 5: Solve for x
    x = 508,751,239,824/349,306
  6. Step 6: Final answer
    x = 1,456,462.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.