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Finding the Third Proportional to 312,039 and 470,259

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Solution

The third proportional to 312,039 and 470,259 is: 708,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,039 : 470,259 = 470,259 : x
  2. Step 2: Convert to fraction form
    312,039/470,259 = 470,259/x
  3. Step 3: Cross multiply
    312,039x = 470,259 × 470,259
  4. Step 4: Simplify right side
    312,039x = 221,143,527,081
  5. Step 5: Solve for x
    x = 221,143,527,081/312,039
  6. Step 6: Final answer
    x = 708,704.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.