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Finding the Third Proportional to 384,553 and 838,302

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Solution

The third proportional to 384,553 and 838,302 is: 1,827,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,553 : 838,302 = 838,302 : x
  2. Step 2: Convert to fraction form
    384,553/838,302 = 838,302/x
  3. Step 3: Cross multiply
    384,553x = 838,302 × 838,302
  4. Step 4: Simplify right side
    384,553x = 702,750,243,204
  5. Step 5: Solve for x
    x = 702,750,243,204/384,553
  6. Step 6: Final answer
    x = 1,827,447.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.