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Finding the Third Proportional to 367,041.38 and 561,542.63

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Solution

The third proportional to 367,041.38 and 561,542.63 is: 859,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,041.38 : 561,542.63 = 561,542.63 : x
  2. Step 2: Convert to fraction form
    367,041.38/561,542.63 = 561,542.63/x
  3. Step 3: Cross multiply
    367,041.38x = 561,542.63 × 561,542.63
  4. Step 4: Simplify right side
    367,041.38x = 315,330,119,691.89
  5. Step 5: Solve for x
    x = 315,330,119,691.89/367,041.38
  6. Step 6: Final answer
    x = 859,113.28

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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.