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Finding the Third Proportional to 337,848 and 734,501

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Solution

The third proportional to 337,848 and 734,501 is: 1,596,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,848 : 734,501 = 734,501 : x
  2. Step 2: Convert to fraction form
    337,848/734,501 = 734,501/x
  3. Step 3: Cross multiply
    337,848x = 734,501 × 734,501
  4. Step 4: Simplify right side
    337,848x = 539,491,719,001
  5. Step 5: Solve for x
    x = 539,491,719,001/337,848
  6. Step 6: Final answer
    x = 1,596,847.46

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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.