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Finding the Third Proportional to 278,518.50 and 594,621

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Solution

The third proportional to 278,518.50 and 594,621 is: 1,269,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,518.50 : 594,621 = 594,621 : x
  2. Step 2: Convert to fraction form
    278,518.50/594,621 = 594,621/x
  3. Step 3: Cross multiply
    278,518.50x = 594,621 × 594,621
  4. Step 4: Simplify right side
    278,518.50x = 353,574,133,641
  5. Step 5: Solve for x
    x = 353,574,133,641/278,518.50
  6. Step 6: Final answer
    x = 1,269,481.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.