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Finding the Third Proportional to 300,906 and 648,828

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Solution

The third proportional to 300,906 and 648,828 is: 1,399,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,906 : 648,828 = 648,828 : x
  2. Step 2: Convert to fraction form
    300,906/648,828 = 648,828/x
  3. Step 3: Cross multiply
    300,906x = 648,828 × 648,828
  4. Step 4: Simplify right side
    300,906x = 420,977,773,584
  5. Step 5: Solve for x
    x = 420,977,773,584/300,906
  6. Step 6: Final answer
    x = 1,399,034.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.