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Finding the Third Proportional to 261,625.50 and 576,283.50

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Solution

The third proportional to 261,625.50 and 576,283.50 is: 1,269,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,625.50 : 576,283.50 = 576,283.50 : x
  2. Step 2: Convert to fraction form
    261,625.50/576,283.50 = 576,283.50/x
  3. Step 3: Cross multiply
    261,625.50x = 576,283.50 × 576,283.50
  4. Step 4: Simplify right side
    261,625.50x = 332,102,672,372.25
  5. Step 5: Solve for x
    x = 332,102,672,372.25/261,625.50
  6. Step 6: Final answer
    x = 1,269,381.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.