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Finding the Third Proportional to 272,935 and 370,812

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Solution

The third proportional to 272,935 and 370,812 is: 503,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,935 : 370,812 = 370,812 : x
  2. Step 2: Convert to fraction form
    272,935/370,812 = 370,812/x
  3. Step 3: Cross multiply
    272,935x = 370,812 × 370,812
  4. Step 4: Simplify right side
    272,935x = 137,501,539,344
  5. Step 5: Solve for x
    x = 137,501,539,344/272,935
  6. Step 6: Final answer
    x = 503,788.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.