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Finding the Third Proportional to 262,980 and 576,015

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Solution

The third proportional to 262,980 and 576,015 is: 1,261,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,980 : 576,015 = 576,015 : x
  2. Step 2: Convert to fraction form
    262,980/576,015 = 576,015/x
  3. Step 3: Cross multiply
    262,980x = 576,015 × 576,015
  4. Step 4: Simplify right side
    262,980x = 331,793,280,225
  5. Step 5: Solve for x
    x = 331,793,280,225/262,980
  6. Step 6: Final answer
    x = 1,261,667.35

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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.