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Finding the Third Proportional to 283,842 and 426,948

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Solution

The third proportional to 283,842 and 426,948 is: 642,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,842 : 426,948 = 426,948 : x
  2. Step 2: Convert to fraction form
    283,842/426,948 = 426,948/x
  3. Step 3: Cross multiply
    283,842x = 426,948 × 426,948
  4. Step 4: Simplify right side
    283,842x = 182,284,594,704
  5. Step 5: Solve for x
    x = 182,284,594,704/283,842
  6. Step 6: Final answer
    x = 642,204.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.