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Finding the Third Proportional to 259,771.50 and 558,362.25

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Solution

The third proportional to 259,771.50 and 558,362.25 is: 1,200,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,771.50 : 558,362.25 = 558,362.25 : x
  2. Step 2: Convert to fraction form
    259,771.50/558,362.25 = 558,362.25/x
  3. Step 3: Cross multiply
    259,771.50x = 558,362.25 × 558,362.25
  4. Step 4: Simplify right side
    259,771.50x = 311,768,402,225.06
  5. Step 5: Solve for x
    x = 311,768,402,225.06/259,771.50
  6. Step 6: Final answer
    x = 1,200,164.00

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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.