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Finding the Third Proportional to 285,471 and 621,783

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Solution

The third proportional to 285,471 and 621,783 is: 1,354,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,471 : 621,783 = 621,783 : x
  2. Step 2: Convert to fraction form
    285,471/621,783 = 621,783/x
  3. Step 3: Cross multiply
    285,471x = 621,783 × 621,783
  4. Step 4: Simplify right side
    285,471x = 386,614,099,089
  5. Step 5: Solve for x
    x = 386,614,099,089/285,471
  6. Step 6: Final answer
    x = 1,354,302.54

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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.