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Finding the Third Proportional to 422,111 and 632,433

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Solution

The third proportional to 422,111 and 632,433 is: 947,550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,111 : 632,433 = 632,433 : x
  2. Step 2: Convert to fraction form
    422,111/632,433 = 632,433/x
  3. Step 3: Cross multiply
    422,111x = 632,433 × 632,433
  4. Step 4: Simplify right side
    422,111x = 399,971,499,489
  5. Step 5: Solve for x
    x = 399,971,499,489/422,111
  6. Step 6: Final answer
    x = 947,550.52

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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.