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Finding the Third Proportional to 260,002 and 558,810.50

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Solution

The third proportional to 260,002 and 558,810.50 is: 1,201,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,002 : 558,810.50 = 558,810.50 : x
  2. Step 2: Convert to fraction form
    260,002/558,810.50 = 558,810.50/x
  3. Step 3: Cross multiply
    260,002x = 558,810.50 × 558,810.50
  4. Step 4: Simplify right side
    260,002x = 312,269,174,910.25
  5. Step 5: Solve for x
    x = 312,269,174,910.25/260,002
  6. Step 6: Final answer
    x = 1,201,026.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.