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Finding the Third Proportional to 505,306.50 and 738,243

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Solution

The third proportional to 505,306.50 and 738,243 is: 1,078,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,306.50 : 738,243 = 738,243 : x
  2. Step 2: Convert to fraction form
    505,306.50/738,243 = 738,243/x
  3. Step 3: Cross multiply
    505,306.50x = 738,243 × 738,243
  4. Step 4: Simplify right side
    505,306.50x = 545,002,727,049
  5. Step 5: Solve for x
    x = 545,002,727,049/505,306.50
  6. Step 6: Final answer
    x = 1,078,558.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.