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Finding the Third Proportional to 469,309 and 703,979

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Solution

The third proportional to 469,309 and 703,979 is: 1,055,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,309 : 703,979 = 703,979 : x
  2. Step 2: Convert to fraction form
    469,309/703,979 = 703,979/x
  3. Step 3: Cross multiply
    469,309x = 703,979 × 703,979
  4. Step 4: Simplify right side
    469,309x = 495,586,432,441
  5. Step 5: Solve for x
    x = 495,586,432,441/469,309
  6. Step 6: Final answer
    x = 1,055,991.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.