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Finding the Third Proportional to 585,134 and 873,872

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Solution

The third proportional to 585,134 and 873,872 is: 1,305,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,134 : 873,872 = 873,872 : x
  2. Step 2: Convert to fraction form
    585,134/873,872 = 873,872/x
  3. Step 3: Cross multiply
    585,134x = 873,872 × 873,872
  4. Step 4: Simplify right side
    585,134x = 763,652,272,384
  5. Step 5: Solve for x
    x = 763,652,272,384/585,134
  6. Step 6: Final answer
    x = 1,305,089.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.