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Finding the Third Proportional to 367,142.63 and 561,580.59

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Solution

The third proportional to 367,142.63 and 561,580.59 is: 858,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,142.63 : 561,580.59 = 561,580.59 : x
  2. Step 2: Convert to fraction form
    367,142.63/561,580.59 = 561,580.59/x
  3. Step 3: Cross multiply
    367,142.63x = 561,580.59 × 561,580.59
  4. Step 4: Simplify right side
    367,142.63x = 315,372,763,276.60
  5. Step 5: Solve for x
    x = 315,372,763,276.60/367,142.63
  6. Step 6: Final answer
    x = 858,992.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.