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Finding the Third Proportional to 260,001 and 558,808.50

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Solution

The third proportional to 260,001 and 558,808.50 is: 1,201,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,001 : 558,808.50 = 558,808.50 : x
  2. Step 2: Convert to fraction form
    260,001/558,808.50 = 558,808.50/x
  3. Step 3: Cross multiply
    260,001x = 558,808.50 × 558,808.50
  4. Step 4: Simplify right side
    260,001x = 312,266,939,672.25
  5. Step 5: Solve for x
    x = 312,266,939,672.25/260,001
  6. Step 6: Final answer
    x = 1,201,022.07

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Why These Related Problems?

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