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Finding the Third Proportional to 264,300 and 576,075

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Solution

The third proportional to 264,300 and 576,075 is: 1,255,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,300 : 576,075 = 576,075 : x
  2. Step 2: Convert to fraction form
    264,300/576,075 = 576,075/x
  3. Step 3: Cross multiply
    264,300x = 576,075 × 576,075
  4. Step 4: Simplify right side
    264,300x = 331,862,405,625
  5. Step 5: Solve for x
    x = 331,862,405,625/264,300
  6. Step 6: Final answer
    x = 1,255,627.72

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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.