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Finding the Third Proportional to 337,616 and 534,614

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Solution

The third proportional to 337,616 and 534,614 is: 846,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,616 : 534,614 = 534,614 : x
  2. Step 2: Convert to fraction form
    337,616/534,614 = 534,614/x
  3. Step 3: Cross multiply
    337,616x = 534,614 × 534,614
  4. Step 4: Simplify right side
    337,616x = 285,812,128,996
  5. Step 5: Solve for x
    x = 285,812,128,996/337,616
  6. Step 6: Final answer
    x = 846,559.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.