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Finding the Third Proportional to 283,656 and 419,883

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Solution

The third proportional to 283,656 and 419,883 is: 621,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,656 : 419,883 = 419,883 : x
  2. Step 2: Convert to fraction form
    283,656/419,883 = 419,883/x
  3. Step 3: Cross multiply
    283,656x = 419,883 × 419,883
  4. Step 4: Simplify right side
    283,656x = 176,301,733,689
  5. Step 5: Solve for x
    x = 176,301,733,689/283,656
  6. Step 6: Final answer
    x = 621,533.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.