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Finding the Third Proportional to 265,948 and 576,204

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Solution

The third proportional to 265,948 and 576,204 is: 1,248,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,948 : 576,204 = 576,204 : x
  2. Step 2: Convert to fraction form
    265,948/576,204 = 576,204/x
  3. Step 3: Cross multiply
    265,948x = 576,204 × 576,204
  4. Step 4: Simplify right side
    265,948x = 332,011,049,616
  5. Step 5: Solve for x
    x = 332,011,049,616/265,948
  6. Step 6: Final answer
    x = 1,248,405.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.