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Finding the Third Proportional to 444,875 and 978,309

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Solution

The third proportional to 444,875 and 978,309 is: 2,151,364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,875 : 978,309 = 978,309 : x
  2. Step 2: Convert to fraction form
    444,875/978,309 = 978,309/x
  3. Step 3: Cross multiply
    444,875x = 978,309 × 978,309
  4. Step 4: Simplify right side
    444,875x = 957,088,499,481
  5. Step 5: Solve for x
    x = 957,088,499,481/444,875
  6. Step 6: Final answer
    x = 2,151,364.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.