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Finding the Third Proportional to 337,272 and 745,956

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Solution

The third proportional to 337,272 and 745,956 is: 1,649,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,272 : 745,956 = 745,956 : x
  2. Step 2: Convert to fraction form
    337,272/745,956 = 745,956/x
  3. Step 3: Cross multiply
    337,272x = 745,956 × 745,956
  4. Step 4: Simplify right side
    337,272x = 556,450,353,936
  5. Step 5: Solve for x
    x = 556,450,353,936/337,272
  6. Step 6: Final answer
    x = 1,649,856.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.