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Finding the Third Proportional to 259,606.50 and 563,502

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Solution

The third proportional to 259,606.50 and 563,502 is: 1,223,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,606.50 : 563,502 = 563,502 : x
  2. Step 2: Convert to fraction form
    259,606.50/563,502 = 563,502/x
  3. Step 3: Cross multiply
    259,606.50x = 563,502 × 563,502
  4. Step 4: Simplify right side
    259,606.50x = 317,534,504,004
  5. Step 5: Solve for x
    x = 317,534,504,004/259,606.50
  6. Step 6: Final answer
    x = 1,223,137.73

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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.