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Finding the Third Proportional to 294,403.50 and 440,433

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Solution

The third proportional to 294,403.50 and 440,433 is: 658,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,403.50 : 440,433 = 440,433 : x
  2. Step 2: Convert to fraction form
    294,403.50/440,433 = 440,433/x
  3. Step 3: Cross multiply
    294,403.50x = 440,433 × 440,433
  4. Step 4: Simplify right side
    294,403.50x = 193,981,227,489
  5. Step 5: Solve for x
    x = 193,981,227,489/294,403.50
  6. Step 6: Final answer
    x = 658,895.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.