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Finding the Third Proportional to 433,775 and 648,110

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Solution

The third proportional to 433,775 and 648,110 is: 968,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,775 : 648,110 = 648,110 : x
  2. Step 2: Convert to fraction form
    433,775/648,110 = 648,110/x
  3. Step 3: Cross multiply
    433,775x = 648,110 × 648,110
  4. Step 4: Simplify right side
    433,775x = 420,046,572,100
  5. Step 5: Solve for x
    x = 420,046,572,100/433,775
  6. Step 6: Final answer
    x = 968,351.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.