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Finding the Third Proportional to 406,978 and 598,289

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Solution

The third proportional to 406,978 and 598,289 is: 879,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,978 : 598,289 = 598,289 : x
  2. Step 2: Convert to fraction form
    406,978/598,289 = 598,289/x
  3. Step 3: Cross multiply
    406,978x = 598,289 × 598,289
  4. Step 4: Simplify right side
    406,978x = 357,949,727,521
  5. Step 5: Solve for x
    x = 357,949,727,521/406,978
  6. Step 6: Final answer
    x = 879,530.90

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