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Finding the Third Proportional to 263,265.75 and 567,922.50

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Solution

The third proportional to 263,265.75 and 567,922.50 is: 1,225,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,265.75 : 567,922.50 = 567,922.50 : x
  2. Step 2: Convert to fraction form
    263,265.75/567,922.50 = 567,922.50/x
  3. Step 3: Cross multiply
    263,265.75x = 567,922.50 × 567,922.50
  4. Step 4: Simplify right side
    263,265.75x = 322,535,966,006.25
  5. Step 5: Solve for x
    x = 322,535,966,006.25/263,265.75
  6. Step 6: Final answer
    x = 1,225,134.55

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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.