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Finding the Third Proportional to 285,624 and 622,035

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Solution

The third proportional to 285,624 and 622,035 is: 1,354,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,624 : 622,035 = 622,035 : x
  2. Step 2: Convert to fraction form
    285,624/622,035 = 622,035/x
  3. Step 3: Cross multiply
    285,624x = 622,035 × 622,035
  4. Step 4: Simplify right side
    285,624x = 386,927,541,225
  5. Step 5: Solve for x
    x = 386,927,541,225/285,624
  6. Step 6: Final answer
    x = 1,354,674.47

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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.