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Finding the Third Proportional to 471,276 and 705,375

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Solution

The third proportional to 471,276 and 705,375 is: 1,055,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,276 : 705,375 = 705,375 : x
  2. Step 2: Convert to fraction form
    471,276/705,375 = 705,375/x
  3. Step 3: Cross multiply
    471,276x = 705,375 × 705,375
  4. Step 4: Simplify right side
    471,276x = 497,553,890,625
  5. Step 5: Solve for x
    x = 497,553,890,625/471,276
  6. Step 6: Final answer
    x = 1,055,759.03

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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.