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Finding the Third Proportional to 422,632 and 654,943

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Solution

The third proportional to 422,632 and 654,943 is: 1,014,949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,632 : 654,943 = 654,943 : x
  2. Step 2: Convert to fraction form
    422,632/654,943 = 654,943/x
  3. Step 3: Cross multiply
    422,632x = 654,943 × 654,943
  4. Step 4: Simplify right side
    422,632x = 428,950,333,249
  5. Step 5: Solve for x
    x = 428,950,333,249/422,632
  6. Step 6: Final answer
    x = 1,014,949.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.