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Finding the Third Proportional to 265,093.50 and 545,739

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Solution

The third proportional to 265,093.50 and 545,739 is: 1,123,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,093.50 : 545,739 = 545,739 : x
  2. Step 2: Convert to fraction form
    265,093.50/545,739 = 545,739/x
  3. Step 3: Cross multiply
    265,093.50x = 545,739 × 545,739
  4. Step 4: Simplify right side
    265,093.50x = 297,831,056,121
  5. Step 5: Solve for x
    x = 297,831,056,121/265,093.50
  6. Step 6: Final answer
    x = 1,123,494.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.