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Finding the Third Proportional to 283,375.13 and 431,827.88

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Solution

The third proportional to 283,375.13 and 431,827.88 is: 658,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,375.13 : 431,827.88 = 431,827.88 : x
  2. Step 2: Convert to fraction form
    283,375.13/431,827.88 = 431,827.88/x
  3. Step 3: Cross multiply
    283,375.13x = 431,827.88 × 431,827.88
  4. Step 4: Simplify right side
    283,375.13x = 186,475,313,627.02
  5. Step 5: Solve for x
    x = 186,475,313,627.02/283,375.13
  6. Step 6: Final answer
    x = 658,051.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.