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Finding the Third Proportional to 413,298 and 876,195

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Solution

The third proportional to 413,298 and 876,195 is: 1,857,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,298 : 876,195 = 876,195 : x
  2. Step 2: Convert to fraction form
    413,298/876,195 = 876,195/x
  3. Step 3: Cross multiply
    413,298x = 876,195 × 876,195
  4. Step 4: Simplify right side
    413,298x = 767,717,678,025
  5. Step 5: Solve for x
    x = 767,717,678,025/413,298
  6. Step 6: Final answer
    x = 1,857,540.27

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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.