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Finding the Third Proportional to 414,846 and 626,089

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Solution

The third proportional to 414,846 and 626,089 is: 944,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,846 : 626,089 = 626,089 : x
  2. Step 2: Convert to fraction form
    414,846/626,089 = 626,089/x
  3. Step 3: Cross multiply
    414,846x = 626,089 × 626,089
  4. Step 4: Simplify right side
    414,846x = 391,987,435,921
  5. Step 5: Solve for x
    x = 391,987,435,921/414,846
  6. Step 6: Final answer
    x = 944,898.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.