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Finding the Third Proportional to 337,634 and 788,789

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Solution

The third proportional to 337,634 and 788,789 is: 1,842,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,634 : 788,789 = 788,789 : x
  2. Step 2: Convert to fraction form
    337,634/788,789 = 788,789/x
  3. Step 3: Cross multiply
    337,634x = 788,789 × 788,789
  4. Step 4: Simplify right side
    337,634x = 622,188,086,521
  5. Step 5: Solve for x
    x = 622,188,086,521/337,634
  6. Step 6: Final answer
    x = 1,842,788.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.