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Finding the Third Proportional to 300,226 and 638,594

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Solution

The third proportional to 300,226 and 638,594 is: 1,358,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,226 : 638,594 = 638,594 : x
  2. Step 2: Convert to fraction form
    300,226/638,594 = 638,594/x
  3. Step 3: Cross multiply
    300,226x = 638,594 × 638,594
  4. Step 4: Simplify right side
    300,226x = 407,802,296,836
  5. Step 5: Solve for x
    x = 407,802,296,836/300,226
  6. Step 6: Final answer
    x = 1,358,317.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.