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Finding the Third Proportional to 263,878.50 and 576,145.50

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Solution

The third proportional to 263,878.50 and 576,145.50 is: 1,257,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,878.50 : 576,145.50 = 576,145.50 : x
  2. Step 2: Convert to fraction form
    263,878.50/576,145.50 = 576,145.50/x
  3. Step 3: Cross multiply
    263,878.50x = 576,145.50 × 576,145.50
  4. Step 4: Simplify right side
    263,878.50x = 331,943,637,170.25
  5. Step 5: Solve for x
    x = 331,943,637,170.25/263,878.50
  6. Step 6: Final answer
    x = 1,257,941.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.