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Finding the Third Proportional to 259,527.50 and 563,119

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Solution

The third proportional to 259,527.50 and 563,119 is: 1,221,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,527.50 : 563,119 = 563,119 : x
  2. Step 2: Convert to fraction form
    259,527.50/563,119 = 563,119/x
  3. Step 3: Cross multiply
    259,527.50x = 563,119 × 563,119
  4. Step 4: Simplify right side
    259,527.50x = 317,103,008,161
  5. Step 5: Solve for x
    x = 317,103,008,161/259,527.50
  6. Step 6: Final answer
    x = 1,221,847.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.