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Finding the Third Proportional to 392,328 and 849,654

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Solution

The third proportional to 392,328 and 849,654 is: 1,840,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,328 : 849,654 = 849,654 : x
  2. Step 2: Convert to fraction form
    392,328/849,654 = 849,654/x
  3. Step 3: Cross multiply
    392,328x = 849,654 × 849,654
  4. Step 4: Simplify right side
    392,328x = 721,911,919,716
  5. Step 5: Solve for x
    x = 721,911,919,716/392,328
  6. Step 6: Final answer
    x = 1,840,072.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.