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Finding the Third Proportional to 361,118 and 561,783

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Solution

The third proportional to 361,118 and 561,783 is: 873,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,118 : 561,783 = 561,783 : x
  2. Step 2: Convert to fraction form
    361,118/561,783 = 561,783/x
  3. Step 3: Cross multiply
    361,118x = 561,783 × 561,783
  4. Step 4: Simplify right side
    361,118x = 315,600,139,089
  5. Step 5: Solve for x
    x = 315,600,139,089/361,118
  6. Step 6: Final answer
    x = 873,952.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.