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Finding the Third Proportional to 260,534 and 541,804

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Solution

The third proportional to 260,534 and 541,804 is: 1,126,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,534 : 541,804 = 541,804 : x
  2. Step 2: Convert to fraction form
    260,534/541,804 = 541,804/x
  3. Step 3: Cross multiply
    260,534x = 541,804 × 541,804
  4. Step 4: Simplify right side
    260,534x = 293,551,574,416
  5. Step 5: Solve for x
    x = 293,551,574,416/260,534
  6. Step 6: Final answer
    x = 1,126,730.39

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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.