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Finding the Third Proportional to 534,177 and 1,260,976.50

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Solution

The third proportional to 534,177 and 1,260,976.50 is: 2,976,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,177 : 1,260,976.50 = 1,260,976.50 : x
  2. Step 2: Convert to fraction form
    534,177/1,260,976.50 = 1,260,976.50/x
  3. Step 3: Cross multiply
    534,177x = 1,260,976.50 × 1,260,976.50
  4. Step 4: Simplify right side
    534,177x = 1,590,061,733,552.25
  5. Step 5: Solve for x
    x = 1,590,061,733,552.25/534,177
  6. Step 6: Final answer
    x = 2,976,657.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.