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Finding the Third Proportional to 259,708.50 and 567,477

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Solution

The third proportional to 259,708.50 and 567,477 is: 1,239,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,708.50 : 567,477 = 567,477 : x
  2. Step 2: Convert to fraction form
    259,708.50/567,477 = 567,477/x
  3. Step 3: Cross multiply
    259,708.50x = 567,477 × 567,477
  4. Step 4: Simplify right side
    259,708.50x = 322,030,145,529
  5. Step 5: Solve for x
    x = 322,030,145,529/259,708.50
  6. Step 6: Final answer
    x = 1,239,967.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.