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Finding the Third Proportional to 437,678 and 625,872

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Solution

The third proportional to 437,678 and 625,872 is: 894,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,678 : 625,872 = 625,872 : x
  2. Step 2: Convert to fraction form
    437,678/625,872 = 625,872/x
  3. Step 3: Cross multiply
    437,678x = 625,872 × 625,872
  4. Step 4: Simplify right side
    437,678x = 391,715,760,384
  5. Step 5: Solve for x
    x = 391,715,760,384/437,678
  6. Step 6: Final answer
    x = 894,986.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.