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Finding the Third Proportional to 489,247 and 688,966

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Solution

The third proportional to 489,247 and 688,966 is: 970,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,247 : 688,966 = 688,966 : x
  2. Step 2: Convert to fraction form
    489,247/688,966 = 688,966/x
  3. Step 3: Cross multiply
    489,247x = 688,966 × 688,966
  4. Step 4: Simplify right side
    489,247x = 474,674,149,156
  5. Step 5: Solve for x
    x = 474,674,149,156/489,247
  6. Step 6: Final answer
    x = 970,213.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.