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Finding the Third Proportional to 295,848 and 648,009

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Solution

The third proportional to 295,848 and 648,009 is: 1,419,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,848 : 648,009 = 648,009 : x
  2. Step 2: Convert to fraction form
    295,848/648,009 = 648,009/x
  3. Step 3: Cross multiply
    295,848x = 648,009 × 648,009
  4. Step 4: Simplify right side
    295,848x = 419,915,664,081
  5. Step 5: Solve for x
    x = 419,915,664,081/295,848
  6. Step 6: Final answer
    x = 1,419,362.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.