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Finding the Third Proportional to 367,338.50 and 567,385

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Solution

The third proportional to 367,338.50 and 567,385 is: 876,373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,338.50 : 567,385 = 567,385 : x
  2. Step 2: Convert to fraction form
    367,338.50/567,385 = 567,385/x
  3. Step 3: Cross multiply
    367,338.50x = 567,385 × 567,385
  4. Step 4: Simplify right side
    367,338.50x = 321,925,738,225
  5. Step 5: Solve for x
    x = 321,925,738,225/367,338.50
  6. Step 6: Final answer
    x = 876,373.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.