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Finding the Third Proportional to 470,400.75 and 706,659.75

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Solution

The third proportional to 470,400.75 and 706,659.75 is: 1,061,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,400.75 : 706,659.75 = 706,659.75 : x
  2. Step 2: Convert to fraction form
    470,400.75/706,659.75 = 706,659.75/x
  3. Step 3: Cross multiply
    470,400.75x = 706,659.75 × 706,659.75
  4. Step 4: Simplify right side
    470,400.75x = 499,368,002,270.06
  5. Step 5: Solve for x
    x = 499,368,002,270.06/470,400.75
  6. Step 6: Final answer
    x = 1,061,579.94

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Why These Related Problems?

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