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Finding the Third Proportional to 259,558.50 and 575,481

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Solution

The third proportional to 259,558.50 and 575,481 is: 1,275,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,558.50 : 575,481 = 575,481 : x
  2. Step 2: Convert to fraction form
    259,558.50/575,481 = 575,481/x
  3. Step 3: Cross multiply
    259,558.50x = 575,481 × 575,481
  4. Step 4: Simplify right side
    259,558.50x = 331,178,381,361
  5. Step 5: Solve for x
    x = 331,178,381,361/259,558.50
  6. Step 6: Final answer
    x = 1,275,929.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.