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Finding the Third Proportional to 262,996 and 576,050

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Solution

The third proportional to 262,996 and 576,050 is: 1,261,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,996 : 576,050 = 576,050 : x
  2. Step 2: Convert to fraction form
    262,996/576,050 = 576,050/x
  3. Step 3: Cross multiply
    262,996x = 576,050 × 576,050
  4. Step 4: Simplify right side
    262,996x = 331,833,602,500
  5. Step 5: Solve for x
    x = 331,833,602,500/262,996
  6. Step 6: Final answer
    x = 1,261,743.91

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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.