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Finding the Third Proportional to 297,762 and 648,009

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Solution

The third proportional to 297,762 and 648,009 is: 1,410,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,762 : 648,009 = 648,009 : x
  2. Step 2: Convert to fraction form
    297,762/648,009 = 648,009/x
  3. Step 3: Cross multiply
    297,762x = 648,009 × 648,009
  4. Step 4: Simplify right side
    297,762x = 419,915,664,081
  5. Step 5: Solve for x
    x = 419,915,664,081/297,762
  6. Step 6: Final answer
    x = 1,410,239.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.