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Finding the Third Proportional to 260,063 and 540,745

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Solution

The third proportional to 260,063 and 540,745 is: 1,124,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,063 : 540,745 = 540,745 : x
  2. Step 2: Convert to fraction form
    260,063/540,745 = 540,745/x
  3. Step 3: Cross multiply
    260,063x = 540,745 × 540,745
  4. Step 4: Simplify right side
    260,063x = 292,405,155,025
  5. Step 5: Solve for x
    x = 292,405,155,025/260,063
  6. Step 6: Final answer
    x = 1,124,362.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.