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Finding the Third Proportional to 259,903.69 and 523,670.70

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Solution

The third proportional to 259,903.69 and 523,670.70 is: 1,055,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,903.69 : 523,670.70 = 523,670.70 : x
  2. Step 2: Convert to fraction form
    259,903.69/523,670.70 = 523,670.70/x
  3. Step 3: Cross multiply
    259,903.69x = 523,670.70 × 523,670.70
  4. Step 4: Simplify right side
    259,903.69x = 274,230,997,129.08
  5. Step 5: Solve for x
    x = 274,230,997,129.08/259,903.69
  6. Step 6: Final answer
    x = 1,055,125.46

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.