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Finding the Third Proportional to 285,632 and 622,052

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Solution

The third proportional to 285,632 and 622,052 is: 1,354,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,632 : 622,052 = 622,052 : x
  2. Step 2: Convert to fraction form
    285,632/622,052 = 622,052/x
  3. Step 3: Cross multiply
    285,632x = 622,052 × 622,052
  4. Step 4: Simplify right side
    285,632x = 386,948,690,704
  5. Step 5: Solve for x
    x = 386,948,690,704/285,632
  6. Step 6: Final answer
    x = 1,354,710.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.