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Finding the Third Proportional to 264,100.50 and 569,265.75

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Solution

The third proportional to 264,100.50 and 569,265.75 is: 1,227,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,100.50 : 569,265.75 = 569,265.75 : x
  2. Step 2: Convert to fraction form
    264,100.50/569,265.75 = 569,265.75/x
  3. Step 3: Cross multiply
    264,100.50x = 569,265.75 × 569,265.75
  4. Step 4: Simplify right side
    264,100.50x = 324,063,494,123.06
  5. Step 5: Solve for x
    x = 324,063,494,123.06/264,100.50
  6. Step 6: Final answer
    x = 1,227,046.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.