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Finding the Third Proportional to 230,784 and 494,784

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Solution

The third proportional to 230,784 and 494,784 is: 1,060,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,784 : 494,784 = 494,784 : x
  2. Step 2: Convert to fraction form
    230,784/494,784 = 494,784/x
  3. Step 3: Cross multiply
    230,784x = 494,784 × 494,784
  4. Step 4: Simplify right side
    230,784x = 244,811,206,656
  5. Step 5: Solve for x
    x = 244,811,206,656/230,784
  6. Step 6: Final answer
    x = 1,060,780.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.