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Finding the Third Proportional to 349,966 and 722,014

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Solution

The third proportional to 349,966 and 722,014 is: 1,489,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,966 : 722,014 = 722,014 : x
  2. Step 2: Convert to fraction form
    349,966/722,014 = 722,014/x
  3. Step 3: Cross multiply
    349,966x = 722,014 × 722,014
  4. Step 4: Simplify right side
    349,966x = 521,304,216,196
  5. Step 5: Solve for x
    x = 521,304,216,196/349,966
  6. Step 6: Final answer
    x = 1,489,585.32

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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.