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Finding the Third Proportional to 354,626 and 531,938

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Solution

The third proportional to 354,626 and 531,938 is: 797,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,626 : 531,938 = 531,938 : x
  2. Step 2: Convert to fraction form
    354,626/531,938 = 531,938/x
  3. Step 3: Cross multiply
    354,626x = 531,938 × 531,938
  4. Step 4: Simplify right side
    354,626x = 282,958,035,844
  5. Step 5: Solve for x
    x = 282,958,035,844/354,626
  6. Step 6: Final answer
    x = 797,905.50

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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.