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Finding the Third Proportional to 330,681 and 494,735

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Solution

The third proportional to 330,681 and 494,735 is: 740,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,681 : 494,735 = 494,735 : x
  2. Step 2: Convert to fraction form
    330,681/494,735 = 494,735/x
  3. Step 3: Cross multiply
    330,681x = 494,735 × 494,735
  4. Step 4: Simplify right side
    330,681x = 244,762,720,225
  5. Step 5: Solve for x
    x = 244,762,720,225/330,681
  6. Step 6: Final answer
    x = 740,177.76

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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.