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Finding the Third Proportional to 337,718 and 534,766

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Solution

The third proportional to 337,718 and 534,766 is: 846,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,718 : 534,766 = 534,766 : x
  2. Step 2: Convert to fraction form
    337,718/534,766 = 534,766/x
  3. Step 3: Cross multiply
    337,718x = 534,766 × 534,766
  4. Step 4: Simplify right side
    337,718x = 285,974,674,756
  5. Step 5: Solve for x
    x = 285,974,674,756/337,718
  6. Step 6: Final answer
    x = 846,785.41

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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.