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Finding the Third Proportional to 413,289 and 876,177

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Solution

The third proportional to 413,289 and 876,177 is: 1,857,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,289 : 876,177 = 876,177 : x
  2. Step 2: Convert to fraction form
    413,289/876,177 = 876,177/x
  3. Step 3: Cross multiply
    413,289x = 876,177 × 876,177
  4. Step 4: Simplify right side
    413,289x = 767,686,135,329
  5. Step 5: Solve for x
    x = 767,686,135,329/413,289
  6. Step 6: Final answer
    x = 1,857,504.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.