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Finding the Third Proportional to 274,846 and 604,854

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Solution

The third proportional to 274,846 and 604,854 is: 1,331,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,846 : 604,854 = 604,854 : x
  2. Step 2: Convert to fraction form
    274,846/604,854 = 604,854/x
  3. Step 3: Cross multiply
    274,846x = 604,854 × 604,854
  4. Step 4: Simplify right side
    274,846x = 365,848,361,316
  5. Step 5: Solve for x
    x = 365,848,361,316/274,846
  6. Step 6: Final answer
    x = 1,331,103.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.