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Finding the Third Proportional to 370,534 and 798,227

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Solution

The third proportional to 370,534 and 798,227 is: 1,719,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,534 : 798,227 = 798,227 : x
  2. Step 2: Convert to fraction form
    370,534/798,227 = 798,227/x
  3. Step 3: Cross multiply
    370,534x = 798,227 × 798,227
  4. Step 4: Simplify right side
    370,534x = 637,166,343,529
  5. Step 5: Solve for x
    x = 637,166,343,529/370,534
  6. Step 6: Final answer
    x = 1,719,589.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.