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Finding the Third Proportional to 467,739 and 705,840.75

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Solution

The third proportional to 467,739 and 705,840.75 is: 1,065,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,739 : 705,840.75 = 705,840.75 : x
  2. Step 2: Convert to fraction form
    467,739/705,840.75 = 705,840.75/x
  3. Step 3: Cross multiply
    467,739x = 705,840.75 × 705,840.75
  4. Step 4: Simplify right side
    467,739x = 498,211,164,360.56
  5. Step 5: Solve for x
    x = 498,211,164,360.56/467,739
  6. Step 6: Final answer
    x = 1,065,147.79

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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.