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Finding the Third Proportional to 263,962.50 and 577,812

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Solution

The third proportional to 263,962.50 and 577,812 is: 1,264,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,962.50 : 577,812 = 577,812 : x
  2. Step 2: Convert to fraction form
    263,962.50/577,812 = 577,812/x
  3. Step 3: Cross multiply
    263,962.50x = 577,812 × 577,812
  4. Step 4: Simplify right side
    263,962.50x = 333,866,707,344
  5. Step 5: Solve for x
    x = 333,866,707,344/263,962.50
  6. Step 6: Final answer
    x = 1,264,826.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.