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Finding the Third Proportional to 298,744 and 625,184

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Solution

The third proportional to 298,744 and 625,184 is: 1,308,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,744 : 625,184 = 625,184 : x
  2. Step 2: Convert to fraction form
    298,744/625,184 = 625,184/x
  3. Step 3: Cross multiply
    298,744x = 625,184 × 625,184
  4. Step 4: Simplify right side
    298,744x = 390,855,033,856
  5. Step 5: Solve for x
    x = 390,855,033,856/298,744
  6. Step 6: Final answer
    x = 1,308,327.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.