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Finding the Third Proportional to 337,842 and 734,488

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Solution

The third proportional to 337,842 and 734,488 is: 1,596,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,842 : 734,488 = 734,488 : x
  2. Step 2: Convert to fraction form
    337,842/734,488 = 734,488/x
  3. Step 3: Cross multiply
    337,842x = 734,488 × 734,488
  4. Step 4: Simplify right side
    337,842x = 539,472,622,144
  5. Step 5: Solve for x
    x = 539,472,622,144/337,842
  6. Step 6: Final answer
    x = 1,596,819.29

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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.