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Finding the Third Proportional to 367,041.50 and 561,534.25

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Solution

The third proportional to 367,041.50 and 561,534.25 is: 859,087.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,041.50 : 561,534.25 = 561,534.25 : x
  2. Step 2: Convert to fraction form
    367,041.50/561,534.25 = 561,534.25/x
  3. Step 3: Cross multiply
    367,041.50x = 561,534.25 × 561,534.25
  4. Step 4: Simplify right side
    367,041.50x = 315,320,713,923.06
  5. Step 5: Solve for x
    x = 315,320,713,923.06/367,041.50
  6. Step 6: Final answer
    x = 859,087.36

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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.